Integration with Partial Fractions and u Substitution

Question: Evaluate the indefinite integral
(a) Evaluate the indefinite integral ∫1/u(1+u) du Hint: 1/u(1 + u) = 1 + u − u /u(1 + u) .(b) Using a substitution, and your answer in part (a), evaluate the indefinite integral ∫ 1/(1+ e^x) dx

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