Integrarion by parts

[Click2]

Hi again,

Is that something that can be solved using integration by parts? Ive been told to use that method but I just don't get it how I'm supposed to do it with these examples as there are 3 different variables instead of 2 ..


Thank you!
Click

 

[HallsofIvy]

Frankly, I don't know what you are asking. You have "\(\displaystyle \int\)" but no "dx". I think that strange figure is a "9" but it might be a "4". Finally, I see no reason to use "integration by parts"- just DO the multipication: \(\displaystyle 2x^2+ 9x^3(x^{\frac{1}{3}})= 2x^2+ 9x^{3+ \frac{1}{3}}= 2x^2+ 9x^{\frac{10}{3}}\).

(Or did you forget the parentheses and it should be \(\displaystyle \left(2x^2+ 9x^3\right)x^{\frac{1}{3}}= 2x^{2+\frac{1}{3}}+ 9x^{3+ \frac{1}{3}}= 2x^{\frac{7}{3}}+ 9x^{\frac{10}{3}}\)?)

 

[Steven G]

Can you please state the three variables as I only see one in each problem?

 

[tkhunny]

Perhaps you mean the appearance of the variable three times. Why does that matter. Feel free to simplify using your best algebra.