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 ▸

The line AB has equation 5x + 3y + 3 = 0. The point with coordinates (2k + 3, 4 -3k) lies on the line AB. How do you find the value of k.


Find the derivative of y = 3x^4 - 10x^2+7x


Differentiate the following with respect to x: e^(10x) + ln(6x+2)


Differentiate 3x^(3) + 7x^(2) -4x