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DIFFERENTIATING UNDER THE INTEGRAL SIGN
kconrad.math.uconn.eduDIFFERENTIATING UNDER THE INTEGRAL SIGN 5 Call the integral on the left I. For t2R, set F(t) = Z 1 0 e t 2(1+x )=2 1 + x2 dx: Then F(0) = R 1 0 dx=(1 + x2) = ˇ=2 and F(1) = 0.Di erentiating under the integral sign,