Question
Asked Feb 23, 2019

Given the function f(x)=x2, find the total area between f(x) and the x-axis over the interval [5,1].

check_circleExpert Solution
Step 1

To find the area of the given region which may lie both above and below the x-axis.

Step 2

The graph of y=-2-x is drawn by joining the points (-5,3) and (-1,-1). Notice that the graph lies both above (between x=-5 and x=-2) and below (between x=-2 and x=-1) the x-axis. The total area of the region required is computed ignoring the sign of the area (note that the area below the x-axis will have negative sign, if the sign is taken into account)

fullscreen
Step 3

The area under a curve is normally computed as a definite integral. In our case , the two regions are right angl...

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Calculus

Integration