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Please, can anyone help me here with this problem??

Q) Determine for what values of

element p is a member of set R, int[exp(px)]dx ; where

upper lim=infinity , lower lim=0

converges and find its value in those cases?

so far:

I got the anti-derivative of the integrand is exp(px)/p.

For the integral to exist, you must have p<0, in which case the

value is -1/p.

The integrand increases without bound for p>0, and for p=0, it is constant, again leading to an unbounded result for the value.

This is where I'm lost, how do you find the value for p<0?

Can anyone verify what I have done and help me solve this problem.

Thanks for your help.

Q) Determine for what values of

element p is a member of set R, int[exp(px)]dx ; where

upper lim=infinity , lower lim=0

converges and find its value in those cases?

so far:

I got the anti-derivative of the integrand is exp(px)/p.

For the integral to exist, you must have p<0, in which case the

value is -1/p.

The integrand increases without bound for p>0, and for p=0, it is constant, again leading to an unbounded result for the value.

This is where I'm lost, how do you find the value for p<0?

Can anyone verify what I have done and help me solve this problem.

Thanks for your help.

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