## Integration with a fraction

Can someone please help me with this problem. Please see the attached image.

The integration when removing the min and max is also provided, how is the answer x2/2 - x3/6? Do we not do anything with the 1 - 1/2 part? and the +2 part? Are we only looking at (x2-2x)/2?

I appreciate the help.
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 PhysOrg.com science news on PhysOrg.com >> King Richard III found in 'untidy lozenge-shaped grave'>> Google Drive sports new view and scan enhancements>> Researcher admits mistakes in stem cell study
 Recognitions: Science Advisor The integrand is x - x2/2.
 Recognitions: Gold Member Science Advisor Staff Emeritus $$-\frac{1}{2}\left(x^2- 2x+ 2\right)= -\frac{1}{2}x^2+ x- 1$$ Adding 1 to that gives the integrand $$-\frac{1}{2}x^2+ x$$ as mathman says.

## Integration with a fraction

Thanks, that is exactly what I needed to know.
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