menu
bartleby
search
close search
Hit Return to see all results

use a geometry formula to find the exact value of the definite integral 2x dx on the inteval [a,b]

Question

use a geometry formula to find the exact value of the definite integral 

2x dx on the inteval [a,b]

check_circleAnswer
Step 1

As a first step let's plot the graph y = 2x and the line x = a and x = b. The line is blue is the plot of y = 2x and those in red are plots of x = a and x = b

The definite integral of 2x dx on the inteval [a,b] = Area under the line y = 2x from x = a to x = b

= Area of the trapezium = ABCD = 1/2 x Sum of the parallel sides AD & CD x distance between the parallel sides

= 1/2 x (AD + BC) x AB

fullscreen
Step 2

AB = b - a

AD = value of y when x is a = 2x = 2a

BC...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Other

Related Calculus Q&A

Find answers to questions asked by student like you

Show more Q&A add

Sorry about that. What wasn’t helpful?