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WZ
Numerade Educator

# If $\displaystyle \int_{-\infty}^\infty f(x)\ dx$ is convergent and $a$ and $b$ are real numbers, show that$$\int_{-\infty}^a f(x)\ dx + \int_a^\infty f(x)\ dx = \int_{-\infty}^b f(x)\ dx + \int_b^\infty f(x)\ dx$$

## $\int_{0}^{\infty} f(x) d x$

#### Topics

Integration Techniques

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### Video Transcript

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