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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫5+x10x16dx\int \frac{\sqrt{5+x^{10}}}{x^{16}} d x is equal to :
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Correct option: A
−175(1+5x10)3⋅2+c-\frac{1}{75}\left(1+\frac{5}{\mathrm{x}^{10}}\right)^{3 \cdot 2}+\mathrm{c}
Option A (−175(1+5x10)3⋅2+c-\frac{1}{75}\left(1+\frac{5}{\mathrm{x}^{10}}\right)^{3 \cdot 2}+\mathrm{c}) is correct because it is the result of the integration after a suitable substitution.

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