Question: 2. (4 marks) Using integration by parts, prove the following: If f and f~! are inverse of each other and a derivative f' is continuous,

2. (4 marks) Using integration by parts, prove the following: If f and f~! are inverse of each other and a derivative f' is continuous, then b f(b) f f(fc)dfc+/f() F1 () dy = bf (b) af (a). Bonus Mark For the case when f and f~! are positive and b > a > 0, draw a diagram to give a geometrical interpretation of this formula

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