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Common Integrals

Indefinite Integral Method of substitution \( \int f\left(g(x)\right)\cdot g'(x) dx = \int f(u) du \) Integration by parts \( \int f(x) \cdot g'(x)dx = f(x) \cdot g(x) – \int g(x) \cdot f'(x)dx \) Integrals of Rational and Irrational Functions \( \int x^n dx = \frac{x^{n+1}}{n+1} + C , n \ne 1 \) \( \int \frac{1}{x} dx = \ln|x| […]

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