# How do you evaluate the integral of absolute value of (x – 5) from 0 to 10 by finding area?

Using integrals:

Don't use plagiarized sources. Get Your Custom Essay on
How do you evaluate the integral of absolute value of (x – 5) from 0 to 10 by finding area?
Just from \$13/Page

Since the |x-5| is equal to a positive value when x ranges from 5 to 10 but equal to a negative value from 0 to 5, we have to split the integral into two parts. Notice in the previous answer how the graph creates two triangles.

Here’s what we have: ##int_0^5- (x-5) dx## + ##int_5^10 (x-5) dx##

When you integrate using your you obtain:
##-1/2 x^2 + 5x## from 0 to 5 + ##1/2 x^2 – 5x## from 5 to 10.

Substituting upper bound minus lower bound for the first integral results in ##[-1/2(25)+5(5)] – [-1/2 (0) +5(0)]## which equals ##25/2##.

Doing the same for the second integral gives us ##[1/2(100)-5(10)] – [1/2(25)-5(5)]## which equals ##25/2##.

Add the two integral values for the total area: ##25/2+25/2=25##

Hope this helps.

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.