For each of the following integrals, specify the values of the real parameter u which ensure that the integral converges: (a) Jooo e-5t e-(a+ jw)t dt

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.

Integraldoesn’tconvergesfor any value of .Integral Convergence?integraltest for confluence is a system used to test horizonless series of monotonous terms for confluence.integralscoincident 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.convergesin the interval for t 0convergesin the interval for t 0convergesfor any value of .Integral Convergencehere: