Question

integrate from 1 to e^2 of lnxdx

Answer 1

What is the derivative of x ln(x) -x?

Answer 2

xlnx?

Answer 3

correction, lnx

Answer 4

What's the integral of ln x?

Answer 5

1/x

Answer 6

No, the derivative of ln x is 1/x
You find that the derivative of x ln x - x is ln x.
What is the integral pf ln x?

Answer 7

(lnx^2)/2?

Answer 8

The integral of ln(x) is x ln(x) -x

Answer 9

What is
\[
\int_1^{e^2} \ln x dx
\]
?

Answer 10

[(e^2)(lne^2) - (e^2)]-[ln1-1]
[(e^2)e - e^2] +1
[e^3-e^2] +1
e-1

Answer 11

Thanks for your help. I've gotta walk away from this problem and come back to it. It was suggested to me this evening in a tutoring session to use integration by parts to get to the integral of lnx...

Signing off for now.

Answer 12

Yes, you can use integration by part by
putting u=ln(x) and dv =dx