Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x) = 4x - 20; [4,8] The area between the x-axis and f(x) is (Type an integer or a simplified fraction.)
Added by Anthony O.
Close
Step 1
Integrating, we get: -2x^2 + 20x evaluated from 4 to 5. Plugging in the values, we get: (-2(5)^2 + 20(5)) - (-2(4)^2 + 20(4)) Solving this gives us: 2 Show more…
Show all steps
Your feedback will help us improve your experience
Israel Hernandez and 51 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x) = 8 - 2x^2; [0,5] For the interval [0,5] the area between the x-axis and f(x) is . (Type an integer or a simplified fraction.)
Ma. Theresa A.
Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x) = 8x - 16; [1,5] The area between the x-axis and f(x) is . (Type an integer or a simplified fraction.)
Kyle S.
Use the definite integral to find the area between the x-axis and f(x) over the indicated interval. Check first to see if the graph crosses the x-axis in the given interval. f(x) = 12 - 3x²; [0,5] Set up the integral (or integrals) needed to compute this area. Use the smallest possible number of integrals. Select the correct choice below and fill in the answer boxes to complete your choice. For the interval [0,5], the area between the x-axis and f(x) is. (Type an integer or a simplified fraction.)
Adi S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD