JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int x^2 e^{x^3} \cos \left(e^{x^3}\right) d x

is equal to

View answer and explanation

Correct option: C

\frac{1}{3} \sin \left(e^{x^3}\right)+C

Option C (

\frac{1}{3} \sin \left(e^{x^3}\right)+C

) is correct because after simplifying the integral using substitution, the result matches this option.

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\int \sin ^5 x \cos ^4 x d x=

f(x)

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f\left(\frac{4}{25}\right)

\int \frac{1-7 \cos ^2 x}{\sin ^7 x \cos ^2 x} d x=\frac{f(x)}{\sin ^7 x}+C

\int {e}^{{x}^2}\left(2-\frac{1}{{x}^2}\right) {de}={e}^{{x}^2} {f}({x})+{C}

{f}\left(\frac{1}{2}\right)=2

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{C}

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\int \,\frac{{a{x^3} + \,\,b{x^2} + c}}{{{x^4}}}\;\,dx