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A. Perform the antidifferentiation. 3 ) (1-y)7 dy dy (y - 1) vy2 - 2y - 3 B. Compute the value of the definite integral
A. Perform the antidifferentiation. 3 ) (1-y)7 dy dy (y - 1) vy2 - 2y - 3 B. Compute the value of the definite integral by interpreting it as the measure of the area of a plane region. Sketch the graph of the relevant function manually (without the aid of a graphing calculator) and show how you obtained the graph. 1) [ (2 - 12 + 4) de 2) VBx - 1' dx C. Compute the derivative. Stan z 1) The VIted 2) D. (And) D. Use the Second Fundamental Theorem of Calculus to evaluate each definite integral. 1) [ cos i de + + 2r+1+2 dx (x + 1)? 2 ) [ 2r (1 -near 4) sect (jux) tan (fur) dr E. For each item, use Desmos to graph the given equations and shade the plane region bounded by the curves. Set up and solve the definite integral for the area of the region. Give an exact answer (not a decimal approximation). 1) y' = 2x - 2, y =x -5 2) y = sinx, y = cost, x =0, 1 = *
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