Math 141 Test 1 - 1 University of Windsor Mathematics...

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1University of Windsor, Mathematics 62-141-03Test 1, Feb. 2, 2010(80 minutes)1.(a) (2 marks) IfR83f(x)dx=-7,R85f(x)dx= 11, findR53f(x)dx.
(b) (2 marks) Findg0(x) ifg(x) =Zx32t2sin(2t+ 5)dt.
(c) (2 marks) EvaluateZ3-3x5cos(x8+ 7)dx.
(d) (3 marks) Express the limitlimn→∞nXi=1i5n6as a definite integral on the interval [0,1], and use the integral to get the limit.

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