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Integration by Substitution in Definite Integrals
If:
$$u=g(x)$$
then:
$$\int_a^b f(g(x))g'(x)\,dx=\int_{g(a)}^{g(b)}f(u)\,du$$
Usage
- Used to evaluate definite integrals directly after substitution without converting back to $$x$$.
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Integration by Substitution in Definite Integrals
If:
$$u=g(x)$$
then:
$$\int_a^b f(g(x))g'(x)\,dx=\int_{g(a)}^{g(b)}f(u)\,du$$
Usage
- Used to evaluate definite integrals directly after substitution without converting back to $$x$$.
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