Intergrate ln(x) with resepct to x
To integrate this, we use the product rule. Think of it as intergrate [ 1 x ln (x)]. As by the product rule we chose one to intergrate and one to differentiate. We intergrate 1 to get x. We differentiate ln (x) to get 1/x. The final answer will then be xln(x) + x + C
LP
Related Maths A Level answers
All answers ▸f(x) = (sin(x))^3. What is f'(x)
a) Integrate ln(x) + 1/x - x to find the equation for Curve A b) find the x coordinate on Curve A when y = 0.
f(x) = sinx. Using differentiation from first principles find the exact value of f' (π/6).
A particle, P, moves along the x-axis. At time t seconds, t > 0, the displacement, is given by x=1/2t^2(t ^2−2t+1).