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.
Evaluate the indefinite integral.
(5dx)/(xln(2x))
3 answers
That's what I got too, but it says that it's wrong.
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.
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.
1 answer