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Definite integration formulas

Definite Integrals if  $\int f(x)  dx= g(x)$$\int_{a}^{b} f(x) dx =g(b) -g(a)$ Properties of Definite Integrals (I) $\int_{a}^{b} f(x) dx= \int_{a}^{b} f(t) dt $ (II) $\int_{a}^{b} f(x) dx=- \int_{b}^{a} f(x) dx $ (III) $\int_{a}^{b} f(x) dx= \int_{a}^{c} f(x) dx + \int_{c}^{b} f(x) dx  $ where a<c <b (IV) $\int_{a}^{b} f(x) dx=\int_{a}^{b} f((a+b-x)) dx$ (V) $\int_{0}^{a} f(x) […]

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