Improper Integrals - Integrating over an infinite interval.In this problem our goal isto determine whether the improper integral below converges or diverges. Ifit converges, we will determine the value of the improper integral.0111-x2dxPart 1.Begin by finding the area under the curve y=11-x2 from x=0toA(t)=A(t)t1-limt1-A(t)=A(t)=0Part 2.Now we will find the limitofA(t)ast1-.limt1-A(t)=Part 3.tox=t,0. This area can be written as the definite integralA(t)=Upon evaluating the definite integral you found above, we haveA(t)=0Part 2.Now we will find the limitofA(t)ast1-.limt1-A(t)=Part 3.to