is my answer correct?
Yes. No. Maybe. :-)
\[\int\limits_{1}^3 (x^2-x+1) dx\] = 9-5/6?
lol
@Limitless and @satellite73 :)
Mmm...doesn't look like it is correct.
why?
Because I get a different result :-)
Can you show your indefinite integral? we can decide if it is an integration mistake or an arithmetic mistake
my antiderivative was: \[\frac{ x^3 }{ 3 }-\frac{ x^2 }{ 2 }+x\]
Yup....ur Integration is Correct
ok good
but the another guy got as total answer 6.67.. so what arithmetic mistake and i making?
My guess is your subtraction of the -x^2/2 for x=1 might have gone awry
1/3-1/2?
@Yahoo!
Keep your eye on the negative sign and similarly, know that it also follows the distributive property. I am not sure if that's where you made a mistake, but that's a common error that people often make: \[\left[ (\frac{ x^3 }{ 3 }) - (\frac{ x^2 }{ 2 }) + x \right]\]
evaluate at x = 3: \[3^3/3-3^2/2+3=9-9/2+3=12-9/2=7\frac{1}{2}\] evaluate at x = 1: \[1^3/3-1^2/2+1=5/6\] \[7\frac{1}{2}-\frac{1}{6} = 7\frac{3}{6}-\frac{5}{6}=?\]
ah thx! i said that 6=3^2 =.= sorry thank you!
I make the mistake that abb0t refers to all the time, it's the first thing I check :-)
Join our real-time social learning platform and learn together with your friends!