Question: 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

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.7111x2-5x-14dxPart 1.Begin by finding the area under the curve y=1x2-5x-14 from x=ttox=11,t>7. This area can be written as the definite integralA(t)=2Upon evaluating the definite integral you found above, we haveA(t)=,t>7Part 2.Now we will find the limitofA(t)ast7+.limt7+A(t)=Part 3.The integralto

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