5.9) Need with parts C and D …..my professor says I have to explain the steps in the solved problems in the picture. Not just

5.9) Need with parts C and D …..my professor says I have to explain the steps in the solved problems in the picture. Not just copy eveything down from the text. Transcribed Image Text: Mean value theorems for integrals
5.9.
Given the right triangle pictured in Figure 5.6: (a) Find the average value of h. (b) At what point does this
average value occur: (c) Determine the average value of f(x) = sin- x, 0 < x 1 (Use integration by parts.) (d) Determine the average value of f(x) = cos² x, 0 < x H В Figure 5.6 Н -x. According to the mean value theorem for integrals, the average value of the function h on (а) h(x) B the interval [0, B] is H x dx В Го В 1 BH = - 2 (b) The point Š, at which the average value of h occurs, may be obtained by equating f(5) with that average H Thus, & 2 В value, i.e., В = 2