Solve int(ln(x)dx)
To solve this we must use integration by parts: int(udv) = uv - int(vdu) (1) Hence let u = ln(x), dv = dx => du=(1/x)dx, v=x, and now using (1) and substituting values we obtain int(ln(x)dx) = ln(x)x - int(x(1/x)dx) = ln(x)x - int(dx) = xln(x) - x + C
GB
Related Maths A Level answers
All answers ▸Does the equation: x^2+5x-6 have two real roots? If so what are they?
The line AB has equation 3x + 5y = 7, find; a) the gradient of AB b) the x-axis and y-axis intercepts c) sketch the graph
The graph above shows the line y = 3*x^2. Find the area beneath the graph from y = 0 to y = 5.
Integrate 4x^3 + 6x^2 +4x + 3