Evaluate the following definite Integrals:
let us assume that the given equation is L
For this we have to apply integration by parts
Let u and v be two functions then
To choose the first function u we use “ILATE” rule
That is
I=inverse trigonometric function
L=logarithmic function
A=algebraic function
T=trigonometric functions
E=exponential function
So in this preference, the first function is chosen to make the integration simpler.
We know that loge=1