1730Practice Final_S19.pdf - MATH 1730 Integral Calculus...

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MATH 1730Integral CalculusSummer 2019Practice Questions for Final Exam1. Findg0(x) whereg(x) =cosx(t2+ 4)1/3dt.Zx3
2. Evaluate each of the following integrals.tan6xsec4x dx(a)+Clnxx3dxZtan6xsec4x dx
9+Clnxx3dx(b)x2-4x2+C2 + lnxxdxZlnxx3dx
2x2-4x2+C2 + lnxxdx
(c)(2 + lnx)Z1xx2+ 4x+ 13dxZ2 + lnxxdx
3(2 + lnx)Z1xx2+ 4x+ 13dx
(e)x2dx
(f)2x2+ 7x-4dx
(g)(h)Z1p1 +xdxq
3. Determine whether each integral is convergent or divergent. If it is convergent findits value if possible.(a)Z0-∞xexdx
(b)234. Sketch the region enclosed by the curvesy= sinx,y= cosx,x= 0 andx=πandfind the area.

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