Evaluate the following integrals or state that they diverge. \int_{-2}^{2}\frac{dp}{4-p^{2}}

CMIIh 2021-02-13 Answered
Evaluate the following integrals or state that they diverge.
22dp4p2
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Expert Answer

crocolylec
Answered 2021-02-14 Author has 100 answers

Step 1
Consider the provided improper integral,
22dp4p2
Evaluate the following integrals.
Apply the substitution method,
Let p=2sinudp=2cosu du.
p=2u=π2
p=2u=π2
Step 2
So, the integral becomes.
22dp4p2=π2π21du
=[1u]π2π21du
=[u]π2π2
=π2+π2
=π
Hence.

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