Chapter 17: Definite Integrals

Question 1

Calculate definite integrals

Answer 1

∫ₐᵇ (f(x))dx
= [F(x)]ₐᵇ
= F(b) - F(a)

Question 2

Find the area under a curve
(when f(x)≥0)

Answer 2

∫ₐᵇ (f(x))dx

Question 3

Find the area above a curve
(when f(x)≤0)

Answer 3

– ∫ₐᵇ (f(x))dx

Question 4

Find the area between 2 curves

Answer 4

• ∫ₐᵇ [f(x)-g(x)] dx
  (upper curve - lower curve)

Question 5

Use integration to solve problems

Answer 5

Integration: measure quantity from its rate of change