# Results and Formulas of Definite Integrals

1) $\int\limits_a^b {F'(x)dx = F(a) - F(b)}$  is called the Fundamental Theorem of Integral Calculus.

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7) If $f(2a - x) = f(x)$ then

8) If $f(2a - x) = - f(x)$ then

9) If $f(x) = f(a + x)$ then

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11) If $f( - x) = f(x)$ i.e. $f(x)$ is an even function, then

12) If $f( - x) = - f(x)$ i.e. $f(x)$ is an odd function, then

13) If $f(x)$ is a periodic function with period $p$, i.e.

then for an integer $n$,

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