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 ▸

Integral of 1/(x^3 + 2x^2 -x - 2)


Solve the equation 3sin^2(x) + sin(x) + 8 = 9cos^2(x), -180<X<180. Then find smallest positive solution of 3sin^2(2O-30) + sin(2O-30) + 8 = 9cos^2(2O-30).


At x=3, is the polynomial y= (4/3)x^3 -6x^2 + 11 at a maxima or minima?


If y = 1/x^3, find an expression for dy/dx