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Integration by Substitution
If:
$$u=g(x)$$
then:
$$du=g'(x)\,dx$$
and:
$$\int f(g(x))g'(x)\,dx=\int f(u)\,du$$
Usage
- Used when an integrand contains a function and its derivative.
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Integration by Substitution
If:
$$u=g(x)$$
then:
$$du=g'(x)\,dx$$
and:
$$\int f(g(x))g'(x)\,dx=\int f(u)\,du$$
Usage
- Used when an integrand contains a function and its derivative.
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