A) Differentiate ln(x) b) integrate ln(x)

A) y=ln(x) Ey = x Ey(dy/dx ) = 1 Eln(x)(dy/dx) = 1 X(dy/dx) = 1 Dy/dx = 1/xb) y = 1 * ln(x) V = ln(x) U= x dv/dx =1/x Du/dx = 1xln(x) - (integral) x * (1/x)xln(x) - (integral) 1= xln(x) -x + C

SR

Related Maths A Level answers

All answers ▸

What is the gradient of the function f(x) = 2x^2 + 3x - 7 at the point where x = -2?


Find the coordinates of the centre C and the length of the diameter of a circle with the equation (x-2)^2 + (y+5)^2 = 25


Prove that 2cot2x+tanx=cotx


The weight in grams, of beans in a tin is normally distributed with mean U and S.D. 7.8, given that 10% conntain more than 225g a) Find U b) % of tins that contain more than 225 grams(A2 stats)