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This document contains solutions to several calculus exercises: 1) It computes an integral involving natural logarithms by making a u-substitution of u = x + 1. 2) It computes an integral of x^n * ln(x) by making a u-substitution of u = ln(x). 3) It shows the limit as n approaches infinity of the sum of a^i from i=1 to n equals (a−1)/(a−1)^2. 4) It computes several integrals using techniques like u-substitution, integration by parts, and properties of definite integrals.

Author

Ramez

Language

OTHER