³ x e^{ x} - NCERT Class XII Mathematics Chapter -

NCERT Class XII Mathematics Chapter - - Solutions

..... Miscellaneous Exercise .....
Integrate the functions in Exercises 229 to 252.

Question : 243 of 271

Marks: +1, -0

\cos^3 x e^{\log \sin x}

Solution:

Let

I=\int \cos^3 x e^{\log \sin x} dx

=\int \cos^3 x \sin x dx

Let

\cos x = t

\Rightarrow -\sin x dx = dt

\therefore I=-\int t^3 dt

=-\frac{t^4}{4}+C

=-\frac{1}{4}\cos^4 x+C

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