JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

\int x^{\frac{13}{2}}\left(1+x^{\frac{5}{2}}\right)^{\frac{1}{2}} d x=a\left(1+x^{\frac{5}{2}}\right)^{\frac{7}{2}}+b\left(1+x^{\frac{5}{2}}\right)^{\frac{5}{2}}+c\left(1+x^{\frac{5}{2}}\right)^{\frac{3}{2}}+d

, then

{b}=

View answer and explanation

Correct option: D

-\frac{8}{25}

Option C (12) is correct because by using vector triple product and given conditions, we can simplify the expression and find its magnitude.

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