I would like to know the answer of the questions.

7. [0/1 Points] DETAILS PREVIOUS ANSWERS OSCALC1 5.5.261-270.WA.TUT. MY NOTES PRACTICE ANOTHER Evaluate the indefinite integral. Use substitution. (Use C for the constant of integration. ) x( x + 1) 3 dx , u = x + 1 ( (x + 1) 4(-4x+ 1) ) + C 129 Tutorial 20 X To integrate using the method of substitution, generally choose u to be the more "complicated" function or a function raised to a power. However, if the incorrect u is chosen, then du will not substitute correctly. How can the choice for u in this problem be algebraically manipulated to find the substitution for the factor x? Additional Materials eBook5. [1/2 Points] DETAILS PREVIOUS ANSWERS OSCALC1 5.5.258. MY NOTES PRACTICE ANOTHER Verify the identity using differentiation. XV 7x2 + 2 dx = (7x2 + 2)3/2 + C d ( 1 ( 7 x 2 + 2) 3/2 + c) = XV 7 x2 + 2 Using the indicated u-substitution, identify f such that the integral takes the form f(u) du. U = 7x2+ 2 f( u ) = 61/2 X6. [1/2 Points] DETAILS PREVIOUS ANSWERS OSCALC1 5.5.260. MY NOTES PRACTICE ANOTHER Verify the identity using differentiation. X 1 (3 x2 + 8) 2 dx = - 6(3x2 + 8) X dx 6(3x - + 8) (3x 2 + 8 ) 2 Using the indicated u-substitution, identify f such that the integral takes the form / F(u) du. U = 3x + 8 f ( u ) = ((x+ 1)4(4x-1) ) 20 + C