5.4 Indefinite Integrals and the Net Change Theorem/3: Difference between revisions
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& \int\cos^{3}xdx = \sin{x}-\frac{1}{3}\sin^{3}x+C \\[2ex] | & \int\cos^{3}xdx = \sin{x}-\frac{1}{3}\sin^{3}x+C \\[2ex] | ||
& \frac{d}{dx} {[\sin{x} - \frac{1}{3} \sin^3{x} +c]} | & \frac{d}{dx} {[\sin{x} - \frac{1}{3} \sin^3{x} +c]} \\[2ex] | ||
& \frac{d}{dx} {\cos{x} - \frac{1}{3}\cdot 3\sin{x^2} \cos{x} +0} | & \frac{d}{dx} {\cos{x} - \frac{1}{3}\cdot 3\sin{x^2} \cos{x} +0} | ||
Revision as of 19:27, 26 August 2022
![{\displaystyle {\begin{aligned}&\int \cos ^{3}xdx=\sin {x}-{\frac {1}{3}}\sin ^{3}x+C\\[2ex]&{\frac {d}{dx}}{[\sin {x}-{\frac {1}{3}}\sin ^{3}{x}+c]}\\[2ex]&{\frac {d}{dx}}{\cos {x}-{\frac {1}{3}}\cdot 3\sin {x^{2}}\cos {x}+0}\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/aad13e9c3c0a431664e484997a0100fa49368695)