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How to Solve Compound Functions Where the Inner Function Is ax + b

Part of the Calculus II For Dummies Cheat Sheet

Some integrals of compound functions f (g(x)) are easy to do quickly in Calculus. These include compound functions for which you know how to integrate the outer function f, and the inner function g(x) is of the form ax + b — that is, it differentiates to a constant.

Here are some examples:

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