MAT136H1 Lecture : 5.4 Integration & Anti-derivatives Indefinite Integrals Question #1 (Easy)

• School: UTSG
• Department: Mathematics
• Course: MAT136H1
• Professor: all

Document Summary

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 ( ). Solution: this integral can be split into two integrals based on one of the properties of integrals: So then, ( ) : take the anti-derivate of each component: And : putting it together: . Though two constant factors are added, they represent an arbitrary number and so it can be simply written as another .