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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫(x3+3x2+3x+1)(x+1)5dx=\int \frac{\left(x^3+3 x^2+3 x+1\right)}{(x+1)^5} d x=
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Correct option: A
−1(x+1)+c-\frac{1}{(x+1)}+c
Option A (−1(x+1)+c-\frac{{1}}{{(x+1)}}+c) is correct because the integral simplifies to this form after simplifying the fraction.

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