SOLUTION: Find the area under the curve below from x = 0 to x = 6. Give your answer correct to 3 decimal places. y = 6x - x^2

Algebra ->  Surface-area -> SOLUTION: Find the area under the curve below from x = 0 to x = 6. Give your answer correct to 3 decimal places. y = 6x - x^2       Log On


   

Question 362353: Find the area under the curve below from x = 0 to x = 6. Give your answer correct to 3 decimal places.
y = 6x - x^2
Found 2 solutions by Fombitz, Edwin McCravy:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Find the area under the curve below from x = 0 to x = 6. Give your answer correct to 3 decimal places.

Let's draw the graph:

 

A = int%28%286x-x%5E2%29%2C+dx%2C+0%2C6%29%22%22=%22%22int%28%286x%29%2C+dx%2C+0%2C6%29%22%22-%22%22int%28%28x%5E2%29%2C+dx%2C+0%2C6%29%22%22=%22%226int%28%28x%29%2C+dx%2C+0%2C6%29%22%22-%22%22int%28%28x%5E2%29%2C+dx%2C+0%2C6%29%22%22=%22%223x%5E2-x%5E3%2F3matrix%283%2C2%2C%22%7C%22%2C6%2C%22%7C%22%2C%22+%22%2C%22%7C%22%2C0%29%22%22=%22%22%283%2A6%5E2-6%5E3%2F3%29%22%22-%22%22%283%2A0%5E2-0%5E3%2F3%29%22%22=%22%2236

Edwin