I would like to know these answer of the questions.

Verify the identity using differentiation. XV 7x2 + 2 dx = = (7x2 + 2) 3/2 + C dx 21 d ( 1 ( 7 x 2 + 2) 3/2 + c ) = xV 7x2 + 2 Using the indicated u-substitution, identify f such that the integral takes the form / f(u) du. U = 7x-+ 2 f(u) = Vu Vu 4 4 XVerify the identity using differentiation. X 1 (3x2+ 8)2 dx = 6(3x2 + 8) 1 x dx 6(3x-+ 8) (3 x 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 ) =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) ) 129 Tutorial 20 - C XEvaluate the definite integral. 7/6 sin(x) - cos(x) dx sin(x) + cos(x)5 1 _ _ 2 , where a is the standard deviation and [4 is the average. Compute the right endpoint estimates R70 and R140 of/ 2mg (X 1) /8 dx. (Round your 3 1 2 2 The normal distribution in probability is given by p(x) = Es(X _ '0 R" answer to four decimal places.) R70 = R 140 Calculate the average over the given interval. (Round your answer to three decimal places.) f(x) = 3 Sing), {2, 71 :l X