Integrals to memorize
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| Function / f(x) | Integral / F(x) |
|---|---|
| sin(x) | -cos(x) + C |
| cos(x) | sin(x) + C |
| 1/x | ln(Ⅰ x Ⅰ) + C |
| ex | ex + C |
| Function / f(x) | Derivative / f’(x) |
|---|---|
| sin(x) | cos(x) |
| cos(x) | -sin(x) |
| ln(x) | 1/x |
| ex | ex |
Scenario: Evaluate the integral of the function below.
| Function / f(x) | Integral / F(x) |
|---|---|
| sin(x) | -cos(x) + C |
| cos(x) | sin(x) + C |
| 1/x | ln(Ⅰ x Ⅰ) + C |
| ex | ex + C |
Answer: F(x) = 3sin(x) + C