MA 104 Week 4 Report ° Numerical Integration
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Improper Integrals
Name:
Lab:
Winter 2006
1.[18marks]Evaluate each of the following de°nite integrals, or show that the integral diverges.(a)1Z0x2e°xdx=limN!1NZ0x2e°xdxLetu=x2,dv=e°xdx)du= 2xdx; v=°e°x=limN!1°°x2e°x±N0+ 2NZ0xe°xdxLetu=x,dv=e°xdx)du=dx; v=°e°x=limN!1°°x2e°x±N0+ 20@(°xe°x)N0+NZ0e°xdx1A=lim°°x2e°x°2xe°x°2e°x±N°°N2e°N°2Ne°N°e°N±°(°0(1)
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2.[14marks](a) Evaluate2Z4x(x2+ 4)dx, or show that the integral diverges.
