Find the area under the graph of f over the interval [ - 1,4]. \begin{cases} x^2 + 2 & x \le 2 \\ 3x & x > 2 \end{cases}
Added by Kara M.
Close
Step 1
Step 1: Write the area as the definite integral A = integral from -1 to 4 of f(x) dx. Show more…
Show all steps
Your feedback will help us improve your experience
Vipender Yadav and 80 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 (7) and Theorem 5.3 .2 to find the area under the graph of the given function on the indicated interval. $$ f(x)=\left\{\begin{array}{ll} 2, & 0 \leq x<1 \\ x+1, & 1 \leq x \leq 4 \end{array}\right. $$
Integrals
The Area Problem
Finding the Area Under a Curve Find the area of the region that lies under the graph of f over the given interval. $$ f(x)=x+6 x^{2}, \quad 1 \leq x \leq 4 $$
Limits: A Preview of Calculus
Areas
Find the area under the graph of f over the interval [3,5]. f(x) = { [2x + 9, for x ≤ 4], [29 - 3/2x, for x > 4] }
Madhur L.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD