Improper integrals - Integrating over an in lite interval. In this problem our goal is to determine whether the improper integral below converges or diverges it it converges we will determine the value of the improper integral 7 1 [W' Part 1. We will use the following denition' If f is continuous at every point of [a1 l1] except for the point r: in (:11 la) and one or both onersided limits of f at c are innite. then we dene [made =[f(a-)dz+ff(1)d1 a provided that both improper integrals on the right converge. If either of the improper integrals on the right diverge then. the integral] r) dz diverges. n 1 f 3 the area under the curve 3,! = from I = 71 to I = t can he writlen as the denite integral For 7]. "f (I _ 3F\" , Arm=f:' ,1 Upon evaluating Ihe denite integral you found above. we have All\": Sili' g,',41%] Note: your answer may contain rational exponents, 1