Category Archives: Fundamental Theorem of Calculus

UIC Master’s Exam- Fall 2007 R2

Problem Statement:  is continuous on . Given that (a) prove has continuous derivative on (Hint: start with the change of variable u=x+t). (b) Given and show that there exists a such that for every . Solutions: (a)Proof: First let us start … Continue reading

Posted in Analysis, Continuity, Differentiable, Fundamental Theorem of Calculus, Math | Leave a comment