Prove directly that Eqs. (2) and (3) are equivalent in the following situation. Let be a
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Prove directly that Eqs. (2) and (3) are equivalent in the following situation. Let ƒ be a positive decreasing function on [0, b] such that ƒ(b) = 0. Set d = ƒ(0) and g(y) = ƒ −1(y). Show that
First apply the substitution y = ƒ(x) to the integral on the left and observe that dx = g'(y) dy. Then apply Integration by Parts.
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