Use a change of variables or the accompanying table to evaluate the following definite integral. dx 0 25x + 16 Click the icon to view the table of general integration formulas. Determine a change of variables from x to u. Choose the correct answer below. A. U=5X O B. U= 25x2 O C. u=x2 O D. U= 25x2 + 16 Write the integral in terms of u. Ula dx () du 25x-+ 16 0Use a change of variables to evaluate the following definite integral. 3 2x dx (x2 + 1) 2 Determine a change of variables from x to u. Choose the correct answer below. O A. U= 2X OB. u= (x2 + 1) 2 O c. u=x2 D. U=x2 + 1 Write the integral in terms of u. 2x dx = 1()du 2 (x2 + 1 ) 5Homework Assignment Part 2 of 3 Points: 1 of 4 Save Question list K Use a change of variables to evaluate the following definite integral. 2x . dx 2 ( x2 + 1 ) 2 Question 4 Determine a change of variables from x to u. Choose the correct answer below. Question 5 O A. U= 2x Question 6 OB. U= (x2 + 1) 2 O c. u=x2 Question 7 D. U=X2 + 1 Write the integral in terms of u. Question 8 w 2x dx = 1 0)du 2 ( x 2 + 1 ) 2 5 Question 9 Question 10Part 2 of 3 Points: 1.75 of 7 Save Question list K Use a change of variables or the accompanying table to evaluate the following definite integral. sin x dx 10+ cos x Question 14 - TI Click the icon to view the table of general integration formulas. Question 15 Determine a change of variables from x to u. Choose the correct answer below. Question 16 O A. U= COSX 1 Question 17 O B. U=- 10 + cos x c. U= 10+ cosx Question 18 O D. u= sinx Write the integral in terms of u. Question 19 sin x - 10 + cos x - dx = Question 20 - 1 9O Points: 0 of 2 Save Question list K The figure to the right shows four regions bounded by the graph of y = x sin x: R1, R2, R3, and R4, whose areas Area = 1 Area = w+1 N are 1, x - 1, x + 1, and 2x -1, respectively. Use this y = xsinx information to evaluate the following integral. R1 R2 R3 Question 14 Arca = 1 - RA x sin x dx Area = 2w - 1 O Question 15 O Question 16 x sin x dx = (Type an exact answer, using it as needed.) O Question 17 Question 18 Question 19 Question 20 10 Vi Vi MorePart 2 of 3 Points: 0.75 of 3 Save Question list K ft3 A spherical balloon is inflating with helium at a rate of 72x How fast is the balloon's radius increasing at the ins min the radius is 3 ft? Question 3 Write an equation relating the volume of a sphere, V, and the radius of the sphere, r. 4 Question 4 V = mrs (Type an exact answer, using it as needed.) Differentiate both sides of the equation with respect to t. Question 5 dV dr dt = (72 dt (Type an exact answer, using it as needed. Type an expression using r as the variable.) Question 6 Question 7 Question 8 Question 9