Both Limits Variable
If:
$$F(x)=\int_{u(x)}^{v(x)}f(t)\,dt$$
then:
$$F'(x)=f(v(x))v'(x)-f(u(x))u'(x)$$
Usage
- Used when both limits depend on the variable.
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CAT Formulas
Indefinite Integration
Both Limits Variable
Both Limits Variable
If:
$$F(x)=\int_{u(x)}^{v(x)}f(t)\,dt$$
then:
$$F'(x)=f(v(x))v'(x)-f(u(x))u'(x)$$
Usage
- Used when both limits depend on the variable.
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