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WZ
Numerade Educator

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Problem 76 Hard Difficulty

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

Answer

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

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Video Transcript

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