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• 01:14, 6 September 2022 Manuelg70564@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/77 (Created page with " <math> \theta \rightarrow x=-3, \, y=4, \, r=5 </math><br><br> <math> -3^2 + 4^2 = 5^2 </math><br><br> <math> 9 + 16 = 25 </math><br><br> <math>\sqrt{25} = 5 = r </math><br><br> <math> \begin{align} \sin{(\theta)} &= \frac{4}{5} & \csc{(\theta)} &= \frac{5}{4}\\[2ex] \cos{(\theta)} &= \frac{-3}{5} & \sec{(\theta)} &= \frac{5}{-3}\\[2ex] \tan{(\theta)} &= \frac{4}{-3} & \cot{(\theta)} &= \frac{-3}{4} \\[2ex] \end{align} </math>")
• 04:50, 5 September 2022 Lizj70013@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/35 (Created page with "<math>\begin{align} \ \int \frac{sin 2 x}{1 + cos^2x} dx \end{align} </math>")
• 03:39, 5 September 2022 Lizj70013@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/15 (Created page with "\int sin$\pi$ dt")
• 04:19, 4 September 2022 Johnny C. talk contribs created page 5.5 The Substitution Rule/29 (Created page with "<math> \int e^{tan(x)}sec^2(x)dx </math> <math> \begin{align} u &=tan(x) \\[2ex] du &= sec^2(x)dx \\[2ex] \end{align} </math> <math> \begin{align} \int e^udu \\[2ex] &= e^u+c \\[2ex] &= e^{tan(x)}+ c \end{align} </math>")
• 03:41, 4 September 2022 Johnny C. talk contribs created page 5.5 The Substitution Rule/9 (Created page with "<math> \int (3x-2)^20dx </math> <math> \begin{align} u &=\ln(x) \\[2ex] du &= \frac{1}{x}dx \\[2ex] \end{align} </math>")
• 21:37, 3 September 2022 Kattieh70488@students.laalliance.org talk contribs created page 5.4 Indefinite Integrals and the Net Change Theorem/33 (Created page with "<math> \begin{align} \int_{1}^{4}\sqrt{\frac{5}{x}}dy &= \int_{1}^{4}(\frac{\sqrt{5}}{\sqrt{x}})dx = 5^\frac{1}{2}\int_{1}^{4}x^\frac{-1}{2}dx\\[2ex] &= \sqrt{5}\times2x^\frac{1}{2}\bigg|_{1}^{4} = \sqrt{5}\times2\sqrt{x}\bigg|_{1}^{4} = 2\sqrt{5x}\bigg|_{1}^{4} \\[2ex] &= 2\sqrt{5\times4}-2\sqrt{5\times1}\bigg|_{1}^{4} \\[2ex] &= 2\sqrt{20}-2\sqrt{5}\bigg|_{1}^{4} = 4\sqrt{5}-2\sqrt{5}\bigg|_{1}^{4} = 2\sqrt{5} \end{align} </math>")
• 06:51, 3 September 2022 Josuem95981@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/19 (Created page with "<math> \begin{align} \int\frac{\left(\ln(x)\right)^2}{x}dx \ = \ \int u^2du = \ \frac{u^{2+1}}{2+1}du \ = \ \frac{1}{3}u^3+C ---- = \ \frac{1}{3}(\ln(x))^3+C \end{align} </math>")
• 05:44, 3 September 2022 Josuem95981@students.laalliance.org talk contribs created page 5.4 Indefinite Integrals and the Net Change Theorem/37 (Created page with "<math> \begin{align} \int_{0}^{\frac{\pi}{4}} \end{align} </math>")
• 19:19, 2 September 2022 Kimberlyr70044@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/43 (Created page with "<math>\begin{align} \int\frac{1+x}{1+x^2}dx &=\int(\frac{1}{1+x^2}+\frac{x}{1+x^2})dx\\[2ex]&=\int\frac{1}{1+x^2}dx+\int\frac{x}{1+x^2}dx\\[2ex]&=tan^{-1}(x) + \frac{1}{2}\int\frac{1}{u}du\\[2ex]&= tan^{-1}(x)+\ln|{1+x}|+c <\math>\end{align}")
• 19:07, 2 September 2022 Josuem95981@students.laalliance.org talk contribs created page 5.4 Indefinite Integrals and the Net Change Theorem/15 (Created page with "<math> \begin{align} & \int\left(\theta-\csc{(\theta)}\cot{(\theta)}\right)d\theta \\ & =\frac{\theta^{2}}{2}+\csc{(\theta)}+C \\ & =\frac{1}{2}\theta^{2}+\csc{(\theta)}+C \end{align} </math>")
• 18:34, 2 September 2022 Marvinr60451@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/23 (Created page with "<math> \int \cos{(\theta)}\sin^6{(\theta)} d{(\theta)} </math>")
• 06:34, 2 September 2022 Alexag69345@students.laalliance.org talk contribs created page 6.1 Angles and Their Measure/57 (Created page with "<math>\frac{-\cancel\pi}{\ 6} </math> <math>\cdot</math> <math>\frac{\ 2\cdot2\cdot5\cdot3\cdot3}{\cancel\pi}= -30^{\circ} </math>")
• 04:04, 2 September 2022 Debbier70425@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/67 (Created page with "<math>\int_{e}^{e^4}\frac{dx}{x}</math>")
• 20:51, 1 September 2022 Davidh69995@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/49 (Created blank page)
• 20:17, 1 September 2022 Juanr69976@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/21 (Created page with " <math>\int\frac{cos\sqrt(t)}{\sqrt(t)}<\math>")
• 20:08, 1 September 2022 Osbeenb61996 talk contribs created page 5.5 The Substitution Rule/27 (Created page with "<math> \begin{align} & \int \cfrac{z^2}{3\sqrt{1+z^3}} +c \end{align} </math>")
• 19:42, 1 September 2022 Jorgen70034@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/63 (Created page with "<math>\int_{a}^{0}\{x}sqrt{x^2+a^2}dx</math>")
• 19:39, 1 September 2022 Merlynm101615@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/39 (Created page with "<math>\int\sec^{3}(x)\tan(x)\, </math>")
• 19:20, 1 September 2022 Nubiaa92222@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/1 (Created page with "<math> \begin{align} & \int{e^-x} dx \\[2ex] \end{align} </math>")
• 17:08, 1 September 2022 Jonathanv62005@students.laalliance.org talk contribs created page 5.5 The Substitution Rule/25 (Created page with "<math> \int e^x\sqrt{1+e^x}dx </math>")
• 16:01, 1 September 2022 Kevind75816@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/47 (Created page with "<math>\frac{5\pi}{6} \Rightarrow \left(\frac{-\sqrt{3}}{2}, \frac{1}{2}\right)</math><br><br> <math> \begin{align} \sin{\left(\frac{5\pi}{6}\right)} &= \frac{1}{2} & \csc{\left(\frac{5\pi}{6}\right)} &= \frac{2}{1}=2\\[2ex] \cos{\left(\frac{5\pi}{6}\right)} &= \frac{-\sqrt{3}}{2} & \sec{\left(\frac{5\pi}{6}\right)} &= \frac{{2}}{-\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}} = -\frac{2\sqrt{3}}{3}\\[2ex] \tan{\left(\frac{5\pi}{6}\right)} &= \frac{\frac{1}{2}}{-\frac{\sqrt...")
• 06:21, 1 September 2022 Osbeenb61996 talk contribs created page 5.5 The Substitution Rule/7 (Created page with "<math> \begin{align} &\int{x\cdot sin \end{align} </math>")
• 17:17, 31 August 2022 Osbeenb61996 talk contribs created page 5.5 The Substitution Rule/51 (Created page with "<math> \begin{align} & \int_{0}^{2} ({x-1})^25 dx \\[2ex] & \int {t^25} dt")
• 03:25, 31 August 2022 Hannag101602@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/31 (Created page with "<math> \sin(45^{\circ})+\cos(60^{\circ}) = \frac{1}{2} - \frac{\sqrt{2}}{2} = \frac{1-\sqrt{2}}{2}")
• 01:43, 31 August 2022 Sophiaa69996@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/83 (Created page with "<math> sin\theta=\frac{3}{5}; cos\theta=\frac{4}{5}; tan\theta=\frac{3}{4}; csc\theta=\frac{5}{3}; sec\theta=\frac{5}{4}; cot\theta=\frac{4}{3}; </math>")
• 01:23, 31 August 2022 Sophiaa69996@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/51 (Created page with "<math> sin\frac{3\pi}{4}=\frac{\sqrt{2}}{2}; cos\frac{3\pi}{4}=-\frac{\sqrt{2}}{2}; tan\frac{3\pi}{4}=-1; csc\frac{3\pi}{4}= {\sqrt{2}}; sec\frac{3\pi}{4}= {-\sqrt{2}}; cot\frac{3\pi}{4}=-1 </math>")
• 19:54, 30 August 2022 Manuelg70564@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/45 (Created page with "<math> csc{\left(\frac{\pi}{2}\right)} + cot{\left(\frac{\pi}{2}\right)} = 1 </math>")
• 18:48, 30 August 2022 Manuelg70564@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/15 (Created page with ":<math> \begin{align} -\frac{2}{5},\frac\sqrt{21}{5} \sin{(t)} &= \frac\sqrt{21}{5} & \csc{(t)} &= \frac{r}{y}\\[2ex] \cos{(t)} &= \frac\{x}{r} & \sec{(t)} &= \frac{r}{x}\\[2ex] \tan{(t)} &= \frac{y}{x} & \cot{(t)} &= \frac{x}{y} \\[2ex] \end{align} </math> \end{align} </math>")
• 17:35, 30 August 2022 Karlaa70053@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/39 (Created page with "<math> \sin{(\180^)}")
• 17:31, 30 August 2022 Kevind75816@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/17 (Created page with "<math>\left(\frac{1}{2}, -\frac{\sqrt{3}}{2}\right)</math> <math> \begin{align} \sin{(t)} &= -\frac{\sqrt{3}}{2} & \csc{(t)} &= -\frac{2}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{3}}{3}\\[2ex] \cos{(t)} &= \frac{1}{2} & \sec{(t)} &= \frac{2}{1} = 2\\[2ex] \tan{(t)} &= \frac{-\frac{\sqrt{3}}{2}}{\frac{1}{2}} = -\frac{\sqrt{3}}{2}\cdot\frac{2}{1} = -\sqrt{3} & \cot{(t)} &= -\frac{1}{\sqrt{3}}=-\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\s...")
• 17:12, 30 August 2022 Aroldog69360@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/55 (Created page with "<math> 405^{\circ}= \frac{\pi}{4} sin=\frac{\pi}{2} </math>")
• 16:58, 30 August 2022 Edisons94504@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/37 (Created page with "<math> frc{3}")
• 16:47, 30 August 2022 Jeremyr102216@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/105 (Created page with "f(\theta)=\sin(\theta)")
• 15:58, 30 August 2022 Naydelinr58421@students.laalliance.org talk contribs created page 5.4 Indefinite Integrals and the Net Change Theorem/43 (Created page with "<math> \int\limits_{-1}^{2}f(x)")
• 15:53, 29 August 2022 Jeremyr102216@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/63 (Created page with "<math>\frac{-14\pi}{6} \Rightarrow \left(\frac{-\sqrt{3}}{2}, \frac{1}{2}\right)</math><br><br> <math> \begin{align} \sin{\left(\frac{5\pi}{6}\right)} &= \frac{1}{2} & \csc{\left(\frac{5\pi}{6}\right)} &= \frac{2}{1}=2\\[2ex] \cos{\left(\frac{5\pi}{6}\right)} &= \frac{-\sqrt{3}}{2} & \sec{\left(\frac{5\pi}{6}\right)} &= \frac{{2}}{-\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}} = -\frac{2\sqrt{3}}{3}\\[2ex] \tan{\left(\frac{5\pi}{6}\right)} &= \frac{\frac{1}{2}}{-\frac{\sq...")
• 07:28, 29 August 2022 Luiso56189@students.laalliance.org talk contribs created page 5.4 Indefinite Integrals and the Net Change Theorem/39 (Created page with "<math>\int_{1}^{64}\frac{1+\sqrt[3]{x}}dx</math>")
• 00:13, 29 August 2022 Juanr69976@students.laalliance.org talk contribs created page 5.4 Indefinite Integrals and the Net Change Theorem/17 (Created page with "17)\int{}{}1+tan^2x\,dx\\ \int{}{}1+tan^2x\,dx=\frac{d}{dx}(tanx)\\ \frac{d}{dx}(tanx)\\= \left(\frac{1}{dx}\right) &= \left(\frac{1}{dx}\right)")
• 02:47, 28 August 2022 Christophers69344@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/57 (Created page with "<math> -\frac {\pi}{6}= -30^{\circ}<\math><br> -90^{\circ}\cdot\frac{\pi}{180^{\circ}}=\frac{\cancel{2}\cdot \cancel{5} \cdot \cancel{3}\cdot \cancel{3}}{1}\cdot\frac{\pi}{{2}\cdot \cancel{2} \cdot \cancel{5} \cdot \cancel{3} \cdot \cancel{3}}\cdot{-1} = -\frac{\pi}{2} </math>")
• 09:16, 27 August 2022 Sebastiang101631@students.laalliance.org talk contribs created page 6.2 Trigonometric Functions: Unit Circle Approach/95 (Created page with "<math> f(x)=\theta </math> <math> \theta = 60^\cric </math>")
• 20:54, 26 August 2022 Dvaezazizi@laalliance.org talk contribs protected File:Desmos-graph.png [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) [Upload=Allow only administrators] (indefinite) (hist)
• 20:54, 26 August 2022 Dvaezazizi@laalliance.org talk contribs uploaded a new version of File:Desmos-graph.png
• 20:50, 26 August 2022 Dvaezazizi@laalliance.org talk contribs protected 6.1 Areas Between Curves/18 [Edit=Allow only administrators] (indefinite) [Move=Allow only administrators] (indefinite) (hist)
• 20:25, 26 August 2022 Dvaezazizi@laalliance.org talk contribs created page File:Desmos-graph.png
• 20:25, 26 August 2022 Dvaezazizi@laalliance.org talk contribs uploaded File:Desmos-graph.png
• 20:22, 26 August 2022 Dvaezazizi@laalliance.org talk contribs created page 6.1 Areas Between Curves/18 (Created page with "<math> \begin{align} & y=8-x^2 & y=x^2 \end{align} </math>")
• 20:18, 26 August 2022 Dvaezazizi@laalliance.org talk contribs created page 6.1 Areas Between Curves (Created page with "== Lecture == == Lecture notes == == Solutions == Mr. V solutions: 2, 30, 54<br> === Block #1 === 1 2 3 5 === Block #2 === 7 9 11 13 15 17 5.5 T...")
• 19:21, 26 August 2022 Jonathanv62005@students.laalliance.org talk contribs created page 5.4 Indefinite Integrals and the Net Change Theorem/23 (Created page with "<math> \int\limits_{-1}^{0}(2x-e^x)dx </math> <math> =\int\limits_{-1}^{0}2xdx-\int\limits_{-1}^{0}e^xdx=-1-(-1-\frac{1}{e})=\frac{1}{e}-2 </math>")
• 19:18, 26 August 2022 Dvaezazizi@laalliance.org talk contribs moved page 5.5 The Substitution Rule/52 to 5.5 The Substitution Rule/54
• 19:15, 26 August 2022 Selenal101624@students.laalliance.org talk contribs created page Selena (Created page with "<math>\frac{d}{dx}</math>")
• 19:15, 26 August 2022 Dvaezazizi@laalliance.org talk contribs created page 5.5 The Substitution Rule/52 (Created page with "<math> \int_{0}^{7} \sqrt{4+3x}dx </math> <math> \begin{align} u &=\ln(x) \\[2ex] du &= \frac{1}{x}dx \\[2ex] \end{align} </math> <math> \begin{align} \int \frac{\sin{(\ln{(x))}}}{x}dx &= \int\frac{1}{x}\sin(\ln{(x)})dx = \int\left(\frac{1}{x}dx\right)\sin{(\ln{(x)})} \\[2ex] &= \int (du)\sin{(u)} = \int \sin{(u)}du \\[2ex] &= -\cos{(u)} + C \\[2ex] &= -\cos{(\ln{(x)})} + C \end{align} </math>")

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