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37. (a) Find TT / 2 cos'x sin x dx by substituting u = JO cos x and changing the endpoints. *(b) Is the formula

37. (a) Find TT / 2 cos'x sin x dx by substituting u = JO cos x and changing the endpoints. *(b) Is the formula f(g(x))g'(x) dx = ( 8() f(u) du a g(a) valid if a g(b)? Discuss

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