Integral of sin(a x) from 0 to ∞

Context: Undergrad
Thread starter fabrikant
Start date Aug 31, 2017

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fabrikant

Thread starter
Aug 31, 2017

In terms of generalized functions, the integral from zero to infinity sin (a x) dx is equal to what?

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Buzz Bloom

Gold Member

Aug 31, 2017

Hi fab:

The integral value is indeterminant. The integral from 0 to x is sinusoidal, so the integal value from 0 to inf does not converge to a specific value as x goes to inf.

Regards,
Buzz

Integral of sin(a x) from 0 to ∞

Discussion

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Integral of sin(a x) from 0 to ∞

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