Integration of a Function with Its Derivative
If:
$$u=f(x)$$
then:
$$\int f'(x)f^n(x)\,dx=\frac{f^{n+1}(x)}{n+1}+C$$
for:
$$n\neq-1$$
Usage
- Used when the derivative of an inner function appears as a factor.
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CAT Formulas
Indefinite Integration
Integration of a Function with Its Derivative
Integration of a Function with Its Derivative
If:
$$u=f(x)$$
then:
$$\int f'(x)f^n(x)\,dx=\frac{f^{n+1}(x)}{n+1}+C$$
for:
$$n\neq-1$$
Usage
- Used when the derivative of an inner function appears as a factor.
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