Trigonometric Integrals by Substitution

1. Feb 8, 2013

awsalazar

I am unsure whether I have properly performed the integration of the integral ∫((sin(√x))^3*dx)/√x

When I used my TI-Nsprire CAS to take the derivative of my answer in order to check if I was correct, and it came out differently. Now I used some trig identities to manipulate the problem, so I figured that is why it was different. So when I stored the integral into one function and the solution into another function, values I would enter were different for each function. Can someone correct any errors I have made or confirm that my answer is correct?

I have attached my attempt at the integral as a .jpg file.

∫((sin(√x))^3*dx)/√x

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• Trig Integral.jpg
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Last edited: Feb 8, 2013
2. Feb 8, 2013

Karnage1993

Your solution and answer are correct. Note that whatever answer your calculator had, you can merely subtract it from the original and see if the result is 0.

3. Feb 8, 2013

Staff: Mentor

I don't see an error, and I can confirm that your solution is correct.

4. Feb 8, 2013

awsalazar

Thanks a lot guys, and good advice Karnage1993, a much easier process then what I was doing.