Saturday

April 19, 2014

April 19, 2014

Posted by **Erica** on Tuesday, October 18, 2011 at 8:45pm.

∫ from 1 to 4 of (√x) (ln√x) dx

Im not really sure what to choose for u and dv.

Thank you so much for the help!!

- Calc -
**Steve**, Wednesday, October 19, 2011 at 5:32amTry to set u to something that gets simpler in the derivative.

u = ln √x

du = 1/√x * 1/2√x dx = dx/2x

dv = √x

v = 2/3 x^{3/2}

∫ u dv = uv - ∫v du

= 2/3 x^{3/2}ln √x - ∫ 1/3 √x dx

= 2/3 x^{3/2}ln √x - 2/9 x^{3/2}

= 2/9 x^{3/2}(3 ln √x - 1)

F(4) = 16/9 (ln 8 - 1)

F(1) = -2/9

F(4) - F(1) = 16/9 ln 8 - 14/9

**Related Questions**

Calculus - Use either substitution or integration by parts to evaluate the ...

calc - evaluate the integral: y lny dy i know it's integration by parts but i ...

brief calc - evaluate the integral using integration by parts 7xe^-x

Calc - First make an appropriate substitution and then use integration by parts ...

Calculus AP - hi again im really need help TextBook: James Stewart:Essential ...

Calculus - Use integration by parts to evaluate the integral xsqrt(2x+6)dx.

Calculus - Use integration by parts to find the given integral: ∫_9^1 (7t...

Calculus - How do I evaluate this integral: x^9cos(x^5)dx Hint: First make a ...

Calculus II - Evaluate the integral using method of integration by parts: (...

calc - also: integral of tan^(-1)y dy how is integration of parts used in that? ...