Question 1 (10 points) Find the antiderivatives of f (x) = ex - 3x2 + sin(x). Question 2 (10 points) Let fac = x(x -1)] Using 6 subintervals, compute the left and right sums for f (2 ) = [(2-1) on [2,5]. Question 3 (10 points) For Lin = n Li=1 'n, given In as indicated, express their limits as 7 + OO as definite integrals, identifying the correct intervals. Question 4 (10 points) For da J1 Vi +2 1+t's dt, use the Fundamental Theorem of Calculus, Part 1, to find the derivative. Question 5 (10 points) (4 2-Vt dt, evaluate each definite intergral using the Fundamental Theorem of Calculus, Part 2. Question 6 (10 points) For S sin? (0) cos(0) do, use a suitable change of variables to determine the indefinite integral. Question 7 (10 point) For So -dt, use a change of variables to evaluate the definite integral. Question 8 (20 point) In the following exercises, find each indefinite integral by using appropriate substitutions. F In(x) (x > 1) . 2 fxe dx Question 9 (10 points) For 25+1632 , find the indefinite integral using appropriate substitutions