tutorial3 - Tutorial 3 MAT 1332A Integration by substitution and by parts(at the same time 1 sin xdx Answer 2(sin x x cos x c Integrals and areas 1

tutorial3 - Tutorial 3 MAT 1332A Integration by...

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Tutorial 3 - MAT 1332A - September 28, 2009 Integration by substitution and by parts (at the same time)1.sinxdx Integrals and areas1. Sketch the region bounded byy=ex, bounded below byy=xandon the side byx= 0 andx= 1. Then find the area of this region. 2. Do the same for the region enclosed by the parabolasy=x2andy= 2x-x2. Explain how to sketch the graphs of the parabolas andhow to find their intersection point.

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