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Integration of Reciprocal Powers
For:
$$n\neq1$$
$$\int\frac{dx}{f^n(x)}=-\frac{1}{n-1}\int\frac{f'(x)}{f^n(x)f'(x)}\,dx$$
Usage
- In practice, rewrite reciprocal powers as negative powers and apply substitution when $$f'(x)$$ is present.
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Integration of Reciprocal Powers
For:
$$n\neq1$$
$$\int\frac{dx}{f^n(x)}=-\frac{1}{n-1}\int\frac{f'(x)}{f^n(x)f'(x)}\,dx$$
Usage
- In practice, rewrite reciprocal powers as negative powers and apply substitution when $$f'(x)$$ is present.
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