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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫ex(1+x)cos⁡2(xex)dx=\int \frac{e^x(1+x)}{\cos ^2\left(x e^x\right)} d x=
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Correct option: B
tan⁡(xex)\tan \left(x e^x\right)
Option B (tan⁡(xex)\tan (x e^x)) is correct because the integral simplifies to tan⁡(xex)+c\tan(xe^x) + c after a simple substitution.

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