Math, asked by raipritesh276, 3 months ago

integration of
 \sin( \sqrt{x} )

Answers

Answered by XitswourldqueenX
0

Answer:

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Answered by BlessOFLove
3

Use the substitution t=x−−√, and then use integration by parts. From the substitution, you should get:

∫sinx−−√dx=2∫tsin(t)dt

Then, use integration by parts. Let u=t and dv=sint. Then du=dt and v=−cost, and we have:

∫tsin(t)dt=−tcost+∫cos(t)dt=sint−tcost=sinx−−√−x−−√cosx−−√

and we have the solution:

∫sinx−−√dx=2(sinx−−√−x−−√cosx−−√)

I hope this clears up the matter for you!

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