What is the true meaning of area in integration?

[Starrrrr]

1. f_-2^{5} 1x-2dx.2. 1. f_a^{b}f(x)dx3. x^2/2 -2(x)|_-2^5
25/2-2(5)-(4/2-2(-2))=-7/2

What am I doing wrong?

 

[Ray Vickson]

1. f_-2^{5} 1x-2dx.2. 1. f_a^{b}f(x)dx3. x^2/2 -2(x)|_-2^5
25/2-2(5)-(4/2-2(-2))=-7/2

What am I doing wrong?

What makes you think you have done something wrong?

 

[Starrrrr]

What makes you think you have done something wrong?

When I put the answer to my online assignment thing it says incorrect

 

[Starrrrr]

What makes you think you have done something wrong?

Allegedly the answer is 12.5 but I don't know how the computer got that

 

[Mark44]

Please take some time to look at our LaTeX tutorial - https://www.physicsforums.com/help/latexhelp/. Your post is just about incomprehensible.

1. f_-2^{5} 1x-2dx.2. 1. f_a^{b}f(x)dx3. x^2/2 -2(x)|_-2^5
25/2-2(5)-(4/2-2(-2))=-7/2

What am I doing wrong?

 

[Ray Vickson]

Please take some time to look at our LaTeX tutorial - https://www.physicsforums.com/help/latexhelp/. Your post is just about incomprehensible.

So you must think more about the meaning of the word "area". Draw the graph of $y = x-2, \: -2 \leq x \leq 5$. What are you actually computing when you calculate the integral $\int_{-2}^5 (x-2) \, dx$?