${\cos ^3}x{e^{\log \sin x}}$
${\cos ^3}x{e^{\log \sin x}}$
Official Solution
VVidaara Team
✓ Verified solution
NCERT & Exemplar
Let $I = \int {{{\cos }^3}x{e^{\log \sin x}}dx} = \int {{{\cos }^3}x\sin xdx}$
Put $\cos x = t$ $\Rightarrow$ $- \sin xdx = dt$
$\therefore$ $I = - \int {{t^3}} dt = - \cfrac{{{t^4}}}{4} + C = - \cfrac{1}{4}{\cos ^4}x + C$
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