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• 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 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>")