# Thread: do i solve it using integ. by parts method?

1. ## do i solve it using integ. by parts method?

integral [sqrt(X) . ln(x)]

thanx

2. Originally Posted by alex83
integral [sqrt(X) . ln(x)]

thanx
Yes. $u = \ln x,\; dv = \sqrt{x}$

3. ## does it look right ?

Originally Posted by danny arrigo
Yes. $u = \ln x,\; dv = \sqrt{x}$
thanks for replying that was helpful
would u pls tell me if the answer i got is right ??

2/3[lnx. x^(3/2)]-(4/9)(x^(3/2))

4. $\int\sqrt{x}\log x dx = \frac{2}{3}\sqrt{x}^3\log x - \frac{2}{3}\int \sqrt{x}dx$

5. Originally Posted by alex83
thanks for replying that was helpful
would u pls tell me if the answer i got is right ??

2/3[lnx. x^(3/2)]-(4/9)(x^(3/2))

You can check answers by differentiating them. Do you get back the integrand?