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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
If ∫5+x10x16dx=a(1+5x10)3/2+C\int \frac{\sqrt{5+x^{10}}}{x^{16}} d x=a\left(1+\frac{5}{x^{10}}\right)^{3 / 2}+C, then a=a=
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Correct option: C
−175-\frac{1}{75}
Option C is correct because after substitution and integration, the value of 'a' is found to be -1/75.

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