Saturday

January 31, 2015

January 31, 2015

Posted by **Back against the wall** on Friday, November 26, 2010 at 9:38pm.

- Calculus 1 -
**drwls**, Friday, November 26, 2010 at 10:16pmlet u = lnx

then du = dx/x

∫1/[x*(lnx+1] dx

= ∫(1/(u+1) du

= ln(u+1) + C

= ln[lnx+1)] + C

When x = 1, the indefinite integral is 0

When x =e^7, the indefinite integral is ln8. The C terms can be ignored since they cancel out.

ln8 is the answer

**Answer this Question**

**Related Questions**

calculus - There are four integrals: 1) definite integral x/(1+x^4)dx b/w ...

calculus - There are four integrals: 1) definite integral x/(1+x^4)dx b/w ...

Calculus - Evaluate the definite integral of the transcendental function. the ...

calculus solved - evaluate integral definite integral sign a=1 b=8 4(x^(2/3)+14...

Calculus - 5) Evaluate the definite integral. On the integral from 1 to e^7 &#...

Calculus - 5) Evaluate the definite integral. On the integral from 1 to e^7 &#...

Calculus - 20) Evaluate the definite integral. On the integral from e to e^3 &#...

Calculus II/III - A. Find the integral of the following function. Integral of (x...

calculus - Evaluate the definite integral:

Calculus - Evaluate the definite integral. xe^(–x^2)dx from 0 to 6