Reverse Power Rule
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When n = -1
Scenario: Evaluate the integral of the below function.
n = -1
The reverse power rule doesn't work with n = -1. The denominator becomes zero... resulting in an undefined integral.
When faced with n = -1, rewrite it as (1/x) and utilize the natural log equation ln(ⅠxⅠ) as the integral!
Pinpointed in integrals to memorize below..
| Function / f(x) | Integral / F(x) |
|---|---|
| 1/x | ln(|x|) + C |
| sin(x) | -cos(x) + C |
| cos(x) | sin(x) + C |
| ex | ex + C |
