Consider the function f(x)=4-x22.In this problem, we're going to evaluate these two integrals:014-x22dx and 024-x22dxGraph the function f(x)(called the "integrand") and look at the shaded region corresponding to the domain0x2. Show how we can use basic geometry to find that area exactly.Then look at the shaded region corresponding to0x1x=0tox=1x=2sin(). Simplify the integrand 4-x22, using that substitution. At somepoint, you will want to factor out a4 and utilize the Pythagorean Identity. vec().B. Don't forget about the dx term! Take the derivative on both sides ofx=2sin() and use that to replace dxwith something involving andd.C. Now, you should have an integral with just the theta variable. Use your calculus knowledge to evaluate thatintegral (findan anti-derivative).What you have now isan answer in terms of.We want to translate that back toan answer in terms ofx.So, usethat substitution x=2sin()to translate everything back into x terms. (The "draw a right triangle" trick Ishowed in class might be helpful...)Now that we have things in terms ofx,we can finally utilize the Fundamental Theorem of Calculus to evaluatethe integral 014-x22dxx=1 and x=0024-x22dx. Make sure you get the same result you found using basic geometry in step #1. Show all work