If ∫cosxsin3x(1+sin6x)2/3dx=f(x)(1+sin6x)1/λ+c, where c is a consta – InterviewSolution

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1.	If ∫cosxsin3x(1+sin6x)2/3dx=f(x)(1+sin6x)1/λ+c, where c is a constant of integration, then λf(π3) is equal to :
Answer» If $\int \frac{cos x}{{sin}^{3} x (1 + {sin}^{6} x)^{2 / 3}} d x = f (x) (1 + {sin}^{6} x)^{1 / λ} + c$ , where $c$ is a constant of integration, then $λ f (\frac{π}{3})$ is equal to :

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