# Â Important Results on Integration

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**Properties of definite integration**

**1.Â **Change of variable does not change the value of integral

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**2.Â **Interchange of limits changes the sign of integral

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**3.Â **Any definite integral can be expressed as the sum of any number of definite integrals by splitting the range of integration

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**4.Â **When the lower limit is zero, the integral f(x) can be changed to f (aâ€“x) where *a *is upper limit

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**5.Â **When f (x) = f (a + x)

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