5.4 - Indefinite and the Net Change Theorem

Question 1

What is the Net Change Theorem?

Answer 1

The integral of a rate of change is the net change

∫(b-a) F’(x) dx = F(b) - F(a)

Question 2

What is the Table of Indefinite Integrals?

Answer 2

1. ∫(a^x)dx = a^x/ln(a) + C
2. ∫csc^2(x)dx = -cot(x) + C
3. ∫csc(x)cot(x)dx = -csc(x) + C