Department of Mathematics, University of TorontoTerm Test 3 – March 13, 2002MAT 137Y, Calculus!Time Alloted: 1 hour 50 minutes1.Evaluate the following integrals.(6%)(i)et1etdt.(6%)(ii)sin5xcos2xdx.(7%)(iii)x2x1x32x2xdx.(7%)(iv)311dxx22x22.(7%)(v)125dxxx4.(7%)(vi)10xarctanx dx.2.Evaluate the following expressions.(5%)(i)ddxarcsinxln1e2x.(5%)(ii)ddxlnxx2.(5%)(iii)limx0cosxcot2x.(15%)3.Consider the area bounded by the curveyxx2and thex-axis. The line
This is the end of the preview.
access the rest of the document.