Question

integration of x^2 sin 3x dx​

Answer 1

Note that we can choose the first function as the function which comes first in the word ILATE

where , I-stands for inverse trigo. functions

L-stands for logarithmic functions

A-stands for algebraic functions

T-stands for trigonometric functions

E-stands for exponential functions

In the above problem x²(algebraic) comes first , so we selected it as the first function.