Thursday

July 24, 2014

July 24, 2014

Posted by **Woof** on Thursday, June 7, 2007 at 6:30pm.

4

S sqrt(t) ln(t) dt

1

please help! thanks!

Integral t^(1/2)Ln(t)dt =

2/3 t^(3/2)Ln(t)-

2/3 Integral t^(1/2) dt =

2/3 t^(3/2)Ln(t) - 4/9 t^(3/2)

Simpler method:

Integral t^(a)dt = t^(a+1)/(a+1)

Integral d/da [t^(a)]dt =

d/da [t^(a+1)/(a+1)] ----->

Integral t^(a)Ln(t)dt =

t^(a+1)Ln(t)/(a+1) - t^(a+1)/(a+1)^2

Finally put a = 1/2.

**Related Questions**

Calc 2 - a. Integral (x^2)/(sqrt(1+(x^2))) Would I separate these two into 2 ...

Calculus - Find the volume of the solid whose base is the region in the xy-plane...

calc check: curve length - Find the length of the curve y=(1/(x^2)) from ( 1, 1...

calc - how do you start this problem: integral of xe^(-2x) There are two ways: 1...

calc: arc length - find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x...

Integral - That's the same as the integral of sin^2 x dx. Use integration by ...

Is this how you derive the formula for arc length? - For a smal change in x, dx...

Calc BC - 1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2...

Calculus II - Integrate using integration by parts (integral) (5-x) e^3x u = 5-x...

calc - find integral using table of integrals ) integral sin^4xdx this the ...