Use the \”keyhole\” contour in Figure 2.17 in the manner of Examples 9 and 10 to compute the following
Use the \”keyhole\” contour in Figure 2.17 in the manner of Examples 9 and 10 to compute the following integrals. ⋅13.∫0∞xαx2+3x+2dx,0<α<1 ⋅14.∫0∞xx2+2x+5dx Answer: π225−1 ⋅15.∫0∞xλx2+2xcosω+1dx,−π<ω<π,0<λ<1 The Correct Answer and Explanation is: To compute the integral I = ∫₀^∞ [x^α / (x² + 3x + 2)] dx, for 0 < α < 1, the method of contour integration using a keyhole […]