Integral doesn’t converges for any value of .

What is Integral Convergence ?

In mathematics, the integral test for confluence is a system used to test horizonless series of monotonous terms for confluence.

It was developed by Colin Maclaurin and Augustin- Louis Cauchy and is occasionally known as the Maclaurin – Cauchy test.

We’ll call these integrals coincident if the associated limit exists and is a finite number( i.e. it’s not else or minus perpetuity) and divergent if the associated limit either does not live or is( plus or disadvantage) perpetuity.

e-at converges in the interval for t  0

If a > 0

e-at converges in the interval for t  0

If a < 0

Now,

0e-ste-( + J)tdt = 0e-(5 + )te Jtdt

Here, t varies from 0 to ;  t  0

So,

 > -5

-0e-ste-( + J)tdt = -0e-(5 + )te Jtd

Here,

 < -5

Hence,

Integral doesn’t converges for any value of .

Learn more about  Integral Convergence here:

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