(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Solve integrals

[tex]\int^0_{-\infty}e^{(a-ik)x}dx[/tex]

[tex]\int^{\infty}_{0}e^{-(a+ik)x}dx[/tex]

2. Relevant equations

[tex]\int e^x=e^x+C[/tex]

3. The attempt at a solution

My troble is with imaginary unit [tex]i[/tex]

[tex]\int^0_{-\infty}e^{(a-ik)x}dx=\frac{e^{(a-ik)x}}{a-ik}|^0_{-\infty}[/tex]

[tex]\int^{\infty}_{0}e^{-(a+ik)x}dx=\frac{e^{-(a+ik)x}}{-a-ik}|^{\infty}_0[/tex]

I don't know how to get results because of [tex]i[/tex]?

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# Improper integrals with i

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