Integration by substitution (∫ f(g(x))g'(x)dx = ∫ f(u)du, u=g(x))
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∫ f(g(x))g'(x)dx = ∫ f(u)du, u=g(x)
What each symbol means
| Symbol | What it stands for |
|---|---|
| u | Substituted inner function |
| g'(x) | Must appear (up to constant factor) |
When to use this
Adjust constants so du matches remaining dx factor.