Integration by Substitution

Saturday, 9 June 2018

5:47 PM

Simplify the integral by substituting part of the integral as

(Often this will be a part where there is a term we are dealing in respect to)

 

 

What do I substitute???

Look for a function  in the integrand whose derivative  is also in the integrand.

Then

 

 

Example: Indefinite Integral

 

 

 

 

 

Example: Definite Integral

• Now, we also find the values of u
  When ,

When ,

 

• Now, evaluate without needing to substitute back to  (since definite integrals give numerical answers)