If h(x)=(fog)(x)+k where k is any constant. If ddx(h(x))=−sinxcos2(c – InterviewSolution

1.	If h(x)=(fog)(x)+k where k is any constant. If ddx(h(x))=−sinxcos2(cosx), then compute the value of j(0),where j(x)=f(x)∫g(x)f(t)g(t)dt, f and g are trigonometric functions
Answer» If $h (x) = (f o g) (x) + k$ where $k$ is any constant. If $\frac{d}{d x} (h (x)) = - \frac{sin x}{{cos}^{2} (cos x)},$ then compute the value of $j (0)$ , where $j (x) = f (x) \int g (x) \frac{f (t)}{g (t)} d t,$ $f$ and $g$ are trigonometric functions

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