1. Evaluate the following real integrals. Be sure to indicate which contours you are using, and...

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1. Evaluate the following real integrals. Be sure to indicate which contours you are using, and the integrals over each part of the contours. Indicate why each integral is as you claim. Show your work. dx (a) (x² + 1) (x² + 9) cos(2x) -dr. (x²+4) (b) 27 de (c) 5+3 cos(0)" VE (d) Jo 2+1) S dr de (e) 2+ v3 sin(0) 1. Evaluate the following real integrals. Be sure to indicate which contours you are using, and the integrals over each part of the contours. Indicate why each integral is as you claim. Show your work. dx (a) (x² + 1) (x² + 9) cos(2x) -dr. (x²+4) (b) 27 de (c) 5+3 cos(0)" VE (d) Jo 2+1) S dr de (e) 2+ v3 sin(0)