Quiz 1.pdf - MTH240 Quiz 1(July 3 2020 Sections 3.1 3.3...

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MTH240 Quiz 1 (July 3, 2020)Sections 3.1 - 3.3Problem 1(a) dxxx)(ln3Let ,lnxudxxdv3,1dxdux.441xvBy the Integration by Parts, we have dxxxxdxxxx)()())((ln)(ln14414413dxxxx344141)(lnCxxx44414141)(lnCxxx4441161)(ln(b) dxxx))(ln(Let ,lnxudxxdv,1dxdux.2/332xvBy the Integration by Parts, we have dxxxxdxxxx)()())((ln))(ln(12/3323223dxxxx2/12/33232)(lnCxxx2/32/3323232)(lnCxxx2/32/33294)(ln
Problem 2(a) dxxx2043cossinLet .cosxuThen .sinxdxduWhen ,0:2x.01:udxxx2043cossindxxxx2042)(sincos)cos1(0142)1)()(1(duuu0146)(duuu01575171uu3525171)0(51)0(7157
(b) dxxx2052cossinLet .sinxuThen .cosxdxduWhen ,0:2x.10:udxxx2052cossindxxxx20222)(cos)sin1)((sin10222)()1(duuu10246)2(duuuu10357315271u

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