$\smallint {\cos ^3}\,\,x\,.\,{e^{\log \sin x}}\,\,dx$ is equal to

$ - \,\,\frac{{{{\sin }^4}\,\,x}}{4}\,\, + \,\,c$

$\frac{{{e^{\sin x}}}}{4}\,\, + \,\,c$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int {\cos ^3}\,\,x\,.\,{e^{\log \sin x}}\,\,dx

is equal to

View answer and explanation

Correct option: B

- \,\,\frac{{{{\cos }^4}\,\,x}}{4}\,\, + \,\,c

Option B,

- \,\,\frac{{{{\cos }^4}\,\,x}}{4}\,\, + \,\,c

, is correct because after simplifying the expression and using substitution, the integral evaluates to this result.

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