If x d x ^ 1 x (1+ ^ 5 x )^ 2 / 3 =f(x) (1+ ^ 5 x )^ 1 / a +c where c is a constant of…
Mathematics · JEE Main · NTA Exams — Integral Calculus
If \(\int \frac{\cos x d x}{\sin ^{1} x\left(1+\sin ^{5} x\right)^{2 / 3}}=f(x)\left(1+\sin ^{5} x\right)^{1 / a}+c\)
where c is a constant of integration, then \(\lambda f\left(\frac{\pi}{3}\right)\) is equal to:
- 2
- -9/8
- 9/8
- -2
Answer
(C) 9/8
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