# A calculus problem by Akshay Yadav

Calculus Level 5

Find the area of given shaded part if the equation of curve is $$y=-|x^3|-x+1$$ and the equation of line is $$y=x$$ .

If it can be written as $$\dfrac{a}{b}+\dfrac{c\sqrt{c}}{d}$$ . Where $$(a,b)$$ and $$(c,d)$$ are pair of mutually prime positive integers and $$c$$ is square root free.

Then find $$a+b+c+d$$ .

Clarifications: The area you have to find is bounded by $$0.4$$ on the right.

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