Integration of a Function Raised to a Power

Rarely Tested

Integration of a Function Raised to a Power

If:

$$u=f(x)$$

then:

$$\int f^n(x)f'(x)\,dx=\frac{f^{n+1}(x)}{n+1}+C$$

for:

$$n\neq-1$$

Usage

- Used for composite powers with their inner derivative present.

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