If 1+ x f(x) ,dx= 2 3 (1+ x)^ 3/2 +C

MATHEMATICS · Numerical · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If ∫1+sin⁡x⋅f(x) dx=23(1+sin⁡x)3/2+C,\int\sqrt{1+\sin x}\cdot f(x)\,dx=\frac{2}{3}(1+\sin x)^{3/2}+C, then f(x)f(x) equals

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