suppose

f: R--->R has a continuous derivative, f(0)=0, and |f'(x)|<=M for x in [0,1]

show that, |integral(f,0,1)|<= half M

show that, if given f(1)=0, then |integral(f,0,1)|<= quarter M

what could you say if |f'(x)|<= Mx?

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- Apr 8th 2008, 09:07 AMszpengchaoshow its integral less than half M
suppose

f: R--->R has a continuous derivative, f(0)=0, and |f'(x)|<=M for x in [0,1]

show that, |integral(f,0,1)|<= half M

show that, if given f(1)=0, then |integral(f,0,1)|<= quarter M

what could you say if |f'(x)|<= Mx? - Apr 8th 2008, 10:18 AMPaulRS
- Apr 8th 2008, 10:33 AMszpengchaohow can u get the second ques?