JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int x^{-11}\left(1+x^4\right)^{-1 / 2} d x= -\frac{1}{10} x^{-a}\left(1+x^4\right)^{5 / 2}+\frac{1}{3} x^{-b}\left(1+x^4\right)^{3 / 2} +\frac{-1}{2} x^{-c}\left(1+x^4\right)^{1 / 2}+k

then

a+b+c

equals

View answer and explanation

Correct option: D

Option D (18) is correct because the values of a, b, and c are determined by solving the integral and comparing coefficients, and their sum is 18.

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