5.4 Integration & Anti-derivatives Indefinite Integrals Question #1 (Easy)
5.4 Integration & Anti-derivatives
Question #1 (Easy): Finding the General Indefinite Integral
The notation for the general indefinite integral is: . This represents the entire
anti-derivative family of .
So, always remember to add the constant term after the anti-derivative function .
Find the general indefinite integral.
1) This integral can be split into two integrals based on one of the properties of integrals:
2) Take the anti-derivate of each component:
3) Putting it together:
Though two constant factors are added, they represent an arbitrary number and so it can be
simply written as another .
Therefore, the general indefinite integral of