Integrate ln(x) with respect to x.
Here we can use integration by parts. Notice that ln(x) can be written as ln(x)1, so we can integrate 1 and differentiate ln(x).
Then using the formula int(uv') dx = uv - int(u'v) dx, we find that the integral of ln(x) is xln(x) - int(1/x * x) dx = xln(x) - int(1) dx = xln(x) - x + c, where c is a constant of integration.
TW
Answered by Tim W. • Further Mathematics tutor
4683 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Show, using the focus-directrix property for an ellipse, that PS +PS'=2a where P is a point on the ellipse and S and S' are the two foci.
Prove by induction that f(n) = 2^(k + 2) + 3^(3k + 1) is divisible by 7 for all positive n.
How do you differentiate arctan(x)?
Given that x = i is a solution of 2x^3 + 3x^2 = -2x + -3, find all the possible solutions