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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫ex(x+2x+4)2dx=\int e^x\left(\frac{x+2}{x+4}\right)^2 d x=
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Correct option: A
xexx+4+c\frac{x e^x}{x+4}+c
Option A (xexx+4+c\frac{x e^x}{x+4}+c) is correct because the integral is solved using the form ∫ex[f(x)+f′(x)]dx=exf(x)+c\int e^x [f(x) + f'(x)] dx = e^x f(x) + c.

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