How do you integrate ln(x)?
Use the method of integration by parts. uv-integral(v.du/dx). Make u equal to ln(x) and dv/dx equal to 1. Therefore v=x and du/dx=1/x. Hence uv=xln(x). And v.du/dx=x/x=1. Substituting these into the 'by parts' formula gives xln(x)-integral(1 dx)= xln(x)-x+C (where C is the constant of integration)
MS
Related Maths A Level answers
All answers ▸The air pressure in the cabin of a passenger plane is modelled by the equation: P(x) = 3cos(x/2) - sin(x/2) where x is the altitude. Express P(x) in the form Rcos(x/2 +z) where z is acute and in degrees and then find the maximum pressure
Find the equation for the tangent to the curve y^3 + x^3 + 3x^2 + 2y + 8 = 0 at the point (2,1)
Differentiate f = ln(x^2 + 1) / (x ^ 2 + 1).
What is the moment about the pivot C