forked from eggy/eifueo
math: clarify substitute rule and provide general form
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@ -56,7 +56,11 @@ $$\int f(x)dx=F(x)+C$$
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### Substitution rule
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### Substitution rule
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Similar to limit evaluation, the substitution of complex expressions involving $x$ and $dx$ with $u$ and $du$ can be done.
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Similar to limit evaluation, the substitution of complex expressions involving $x$ and $dx$ with $u$ and $du$ is generally used to work with the chain rule.
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$$
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u=g(x) \\
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\int f(g(s))\cdot g´(x)\cdot dx = \int f(u)\cdot du
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$$
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??? example
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??? example
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To solve $\int (x\sqrt{x-1})dx$:
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To solve $\int (x\sqrt{x-1})dx$:
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