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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
If I=∫dxx3(x8+1)3/4=λ(1+x8)14x2+c{I}=\int \frac{d x}{x^3\left(x^8+1\right)^{3 / 4}}=\frac{\lambda\left(1+x^8\right)^{\frac{1}{4}}}{x^2}+c (where cc is the constant of integration), then the value of λ\lambda is equal to
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Correct option: D
−12-\frac{1}{2}
Option D (-12\frac{{1}}{{2}}) is correct because it is the value of λ\lambda obtained after solving the integral.

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