# Integral question

• December 4th 2012, 05:06 PM
tebowgocray
Integral question
This is probably really simple and I'm just over thinking but...

For my homework, some questions say "Find the integral" and some say "Evaluate the integral". Is there a difference between the two? Or does "find" and "evaluate" mean the same thing?
• December 4th 2012, 07:07 PM
Soroban
Re: Integral question
Hello, tebowgocray!

Quote:

For my homework, some questions say "Find the integral" and some say "Evaluate the integral".
Is there a difference between the two?
Or does "find" and "evaluate" mean the same thing?

In my experience, "find the integral" refers to an indefinite integral: $\int\! 2x\,dx \:=\:x^2+C$

While "evaluate" usually refers to a definite integral: $\int^2_1\!\!2x\,dx \:=\:x^2\bigg]^2_1 \:=\:2^2 - 1^2 \:=\:3$
After all, "evaluate" means "find the value".

But many (most?) textbooks interchange the terms freely.