Posted by Erica on Wednesday, October 19, 2011 at 1:05am.
Use substitution to evaluate the indefinite integral:
The integral of [ (sq. root (1 + ln x)) ((ln x)/x) dx]
Im confused on what i should substitute u and du for.
Thank you so much!!

Calc  Steve, Wednesday, October 19, 2011 at 11:37am
Let u = 1+ln x
so,
du = 1/x dx
ln x = u1
So, we have
u^1/2 * (u1) du
= u^3/2  u^1/2 du
Integrate that to get
2/5 u^5/2  2/3 u^3/2
=
2/5 (1 + ln x)^5/2  2/3 (1+ln x)^3/2
Check your work by taking the derivative. Trust me  it comes out right.
Answer This Question
Related Questions
 Calc BC  1. Find the indefinite integral. Indefinite integral tan^3(pix/7)sec^2...
 Calculus  Hello Everyone, I need help with Calc II. 1. Integral from 0 to 1 of...
 math  Evaluate the following indefinite integral by using the given ...
 math  Evaluate the following indefinite integral by using the given ...
 Business Calculus  Evaluate each indefinite integral. Use the substitution ...
 Please help with Calc!  Evaluate the indefinite integral. integral 2e^(2x)sin(e...
 Calc.  Evaluate the indefinite integral. Please check my work? Not sure if I am...
 Calculus  "Evaluate the following indefinite integrals: "S" (3x^2 2)/(x^3  2x...
 Calc 121  How do you integrate using substitution: the integral from 1 to 3 of...
 Math  1. Evaluate the indefinite integral ([6x^2 + 12x^(3/2) +4x+9]/sqrt x)dx. ...
More Related Questions