pracprob_fin.pdf - MATHEMATICS 115 PRACTICE PROBLEMS FOR...

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MATHEMATICS 115PRACTICE PROBLEMS FOR FINAL EXAMAlso see the midterm practice problems1. Evaluate the following integrals. (Also try the integrals from the integral practice sheet.)(a)integraldisplaycosx dx(b)integraldisplay3x2-4x+ 5(x-1)(x2+ 1)dx(c)integraldisplayradicalbig2x-x2dx(d)integraldisplayradicalbige2x-9dx(e)integraldisplaysinxcos2x5 + cos2xdx(f)integraldisplayx(x2+ 2x+ 2)32dx(g)integraldisplaysin24xcos24x dx(h)integraldisplayx2lnx dx(i)integraldisplaytan32xsec32x dx
2. Do the following improper integrals converge or diverge? Justify. Evaluate those that con-verge.

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