Hello i need help with the following questions. Please and thank you.

\fUse a change of variables to evaluate the following indefinite integral. J(x 10 - 5x2) 5 ( x 9 - x) dx Determine a change of variables from x to u. Choose the correct answer below. OA. u=x -x OB. U=x 10 O C. u= (x10 - 5x2) 5 O D. u=x10 - 5x2 Write the integral in terms of u. S (x 10 - 5x 2) 5 ( x 9 - x) ax = D duUse a change of variables to evaluate the following definite integral. CO dx 1 16x + 8x + 1 Determine a change of variables from x to u. Choose the correct answer below. O A. U = 4x O B. u = 16x2 O C. u= 16x2+ 8x + 1Find the area of the region described. The region bounded by y = 3x and y = 75x The area of the region is (Type an exact answer, using radicals as needed.)In the gure, the equation of the solid parabola is y =x2 - 12 and the equation of the dashed line is y =11x. Determine the area of the shaded region. \\ r \\ J ,0 59: IS}. / r \\ The area of the shaded region is . (Type an exact answer.) Write the integral in terms of u. 9 - dx = du 16x + 8x + 1 5 Evaluate the integral. CO 9 dx = 1 16x + 8x + 1 (Type an exact answer.)Find the volume of the solid generated when the region bounded by y= x and y= 21/; is revolved about the xaxis. Set up the integral that gives the volume of the solid. ii: ax (Type exact answers.) The volume of the solid is cubic units. (Type an exact answer.)