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