Asked by <3

Evaluate the indefinite integral.

(5dx)/(xln(2x))

Answers

Answered by MathMate
First make the substitution:
t=ln(2x)=ln2+lnx
dt=d(ln2)/dx + dx/x = dx/x

I = ∫5dx/(xln(2x))
=5∫(dx/x)/ln(2x)
=5∫(dt/t)
=5ln(t) + C
=5ln(ln(2x)) + C

Check by differentiation of I.
Answered by <3
That's what I got too, but it says that it's wrong.
Answered by MathMate
I have differentiated the result and got back the integrand.

So possible problems could be:
1. Recheck the expression of the integrand, which contains sufficient parentheses to render it inambiguous. But do check if there are incorrect parentheses or powers.
2. Since you know the result is "wrong" without knowing the actual answer, I assume you are dealing with a software, which is notorious for rejecting correct answers presented in a different format.
Read through the directives carefully, sometimes they specify the name of the integration constant to be other than "C", or log in place of ln, etc.
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions