Is this integral using change of variables technique correct?

In summary, the change of variables technique is a method used to simplify integrals by substituting a new variable for the original variable. It is used when encountering integrands with complicated expressions or multiple variables. Any variable can be used for the substitution, as long as it is different from the original variable. The steps to solve an integral using this technique are: 1) Identify a suitable substitution, 2) Differentiate the substitution and substitute into the integral, 3) Solve the new integral, and 4) Substitute back in the original variable to get the final answer. To check if the integral is correct, you can differentiate the final answer and compare it to the original integrand.
  • #1
WMDhamnekar
MHB
381
28
TL;DR Summary
https://youtu.be/TvM_SeMeg9I
1654363688292.png


Is the answer given above correct?
 
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  • #2
In my opinion, the calculated answer is correct.
 

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