


Use a contour to evaluate So S**** dx T 4 8 Oy O | EIS 2
Use a contour to evaluate x? dx (x2 +1)(x2+4) f
Use a contour to evaluate Lo 1. dx
Use a contour to evaluate so x²+2x da (2-1)(x3+1)
1 Use a contour to evaluate Soº dx 1+x4
1 Use a contour to evaluate So 27 0 dᎾ (2+cos 6)2
1. a) Substitute u = sin(x) to evaluate sin^2(x) cos^3(x) dx. [trig identity sin2(x)+cos2(x) = 1]. b) Find the antiderivatives: i) sin(2x) dx ii) (cos(4x)+3x^2) dx
Use the substitution formula to evaluate the integral. 1/2 COS X s dx (5+5 sin x) 0 3 OA 1000 OB 3 200 OC. 3 200 OD. 12 125
1 Use a contour to evaluate So da 1+x4
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =