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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