75. Recall that if f (t) > g(t) for t > 0, then for all x > 0, g(t) dt The inequality e > 1 holds for t 2 0 because e > 1. Use (7) to prove that e > 1+ x for x > 0. Then prove, by successive...

 evaluate the integral using the methods covered in the text so far.

Extracted text: 75. Recall that if f (t) > g(t) for t > 0, then for all x > 0, g(t) dt The inequality e > 1 holds for t 2 0 because e > 1. Use (7) to prove that e > 1+ x for x > 0. Then prove, by successive integration, the following inequalities (for x > 0): e 21+x+ e* >1+x+5*