# Calculust-4

Calculus Level 5

Let $$h(x)= (f \circ g)(x) +K$$, where $$K$$ is any constant.

If $$\dfrac{d}{dx} h(x)= \dfrac{-\sin x}{\cos^2{(\cos {x})}}$$, then compute the value of $$j(0)$$, where $j(x)=\int^{f(x)}_{g(x)} \dfrac{f(t)}{g(t)} \,dt$ and, $$f$$ and $$g$$ are trigonometric functions. If $$j(0)$$ is of the form $$a-\sec{b}$$, then give your answer as $$a+b$$.

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