How to integrate ln(x)?
You need to use a clever trick for this! Write ln(x) as 1ln(x), and use integration by parts:u=ln(x) v'=1u'=1/x v=xThen applying the formula we obtain∫ln(x)dx = xln(x) - ∫[(1/x)x] dx = = xln(x) - ∫1 dx = = xln(x) - x + C = x(ln(x) - 1) + CAnd if we have some data we can work out the constant of integration C.
KW
Answered by Krzysztof W. • Further Mathematics tutor
3840 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸A complex number z has argument θ and modulus 1. Show that (z^n)-(z^-n)=2iSin(nθ).
Prove, by induction, that 4^(n+1) + 5^(2n-1) is always divisible by 21
Find the general solution of the differential equation d^2y/dx^2 - 5*dy/dx + 4y = 2x
How to multiply and divide by complex numbers