# Integrate log x

Integration is an inverse process of differentiation. It is a process to find the area below any complex curve.

## Answer: The integration of log x is x log x – x + C

Let us see, how to solve it.

**Explanation**:

Use the integration by parts formula, ∫uv dx = u∫v dx - ∫(du/dx ∫ v dx)dx, to calculate the integration of the logarithmic function, log x

Here, u = log x and v = 1

∫(logx.1)dx = logx∫1.dx – ∫[d(logx)/dx ∫1dx]dx

∫logx.dx = logx.(x) − ∫x.1/x dx

∫logx.dx = logx.(x) − ∫dx

∫logx.dx = xlogx – x+C

Here C is a constant