SPLIT - Integration by part relating to cosine and sine

[dBanji]

Welcome to the world of integration, dBanji.

Lol. Sometimes confusing lol. Thanks for your help

I got another question though. Hope you can help. I will attach it here

 

[dBanji]

That was wrong and I do not know how to proceed

 

[Dr.Peterson]

This really should have been a new thread.

Your shaded region doesn't agree with the description:

You included the line x = 7^3, which is not mentioned.

But the problem is odd, because the region described doesn't really involve both curves, as I read it.

 

[nasi112]

I think that there is an error in this problem. If [MATH]y = 7[/MATH] is a main curve, one of the other curves will be useless.

I think that the region is

[MATH]x = y^3, y = \frac{1}{x}, x = 0, [/MATH] and [MATH]y = 7[/MATH]