# Lecture 3 Part 2 Integrals Class 12 Maths :::INTEGRATION BY PARTS:::

Method to identify the First Function:

**I L A T E**

**I** = Inverse Trigonometric Functions**L **= Logarithmic Functions**A** = Algebraic Functions **T** = Trigonometric Functions **E** = Exponential functions

## VIDEO - 2

You can use any constant or unity (one) as II function in following cases:

**9. \int \log{x}dx=\ x\log{x}-x+C**

**10. \int{{\tan}^{-1}{x}dx=}x{\tan}^{-1}{x}-\frac{1}{2}\log{(}1+x^2)+C**

**11. \int_{0}^{1}{{\sin}^{-1}{x}dx=\frac{\pi}{2}-1}**