To review these concepts, go to Areas Under Curves Study Guide.
Areas Under Curves Practice Questions
Evaluate the following integrals.
Use the following graph to solve practice problems 1, 2, and 3.
- f(x)dx
- f(x)dx
- f(x)dx
Use the following graph for practice problems 4, 5, and 6.
- g(x)dx
- g(x)dx
- g(x)dx
Use the following graph for practice problems 7, 8, and 9.
- h(t)dt
- h(t)dt
- h(t)dt
Use the following graph for practice problems 10 through 18.
- k(x)dx
- k(x)dx
- k(x)dx
- (x + 2) dx
- 2 dx
- (t – 3)dt
- xdx
- 2xdx
- (2x – 2)dx
Suppose f(x) dx = 10, f(x) dx = – 5, and f(x) dx = 2. Evaluate the following.
- f(x) dx
- f(x) dx
- f(x) dx
Suppose g(t)dt = – 3, g(t)dt = 8, and g(t)dt = – 10. Evaluate the following.
- g(t)dt
- g(t)dt
- g(t)dt
Suppose h(x)dx = 20 , h(x)dx = 12 and h(x)dx = –5. Evaluate the following.
- h(x)dx
- h(x)dx
- h(x)dx
Solutions
- 2
- 2π
- 3
- 3 + 2π
- –
- 0
- –
- 4
- 0
- –
- 16
- 6
- 0
- 35
- 48
- 5
- –3
- 7
- 7
- –11
- –1
- 8
- –17
- 25
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