WS 5.R - Integration Review.pdf - MATH-2212 Calculus of One...

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MATH-2212: Calculus of One Variable IIWorksheet for section 5.RWorksheet for Section 5.R – Integration ReviewTable of Basic Indefinite Integrals (or Antiderivatives)Zk dx=kx+CZxndx=xn+1n+ 1+C(forn6=-1)Zdxx= ln|x|+CZexdx=ex+CZaxdx=axlna+CZsinx dx=-cosx+CZcosx dx= sinx+CZsec2x dx= tanx+CZcsc2x dx=-cotx+CZsecxtanx dx= secx+CZcscxcotx dx=-cscx+CZtanx dx=-ln|cosx|+CZcotx dx= ln|sinx|+CZsecx dx= ln|secx+ tanx|+CZcscx dx= ln|cscx-cotx|+CZdx1 +x2= arctanx+CZdxa2+x2=1aarctanxa+CZdx1-x2= arcsinx+CZdxa2-x2= arcsinxa+CPractice problems1. Evaluate the given integrals.[Note: all these examples boil down to the basic antiderivativeformulas; the substitution method isNOTneeded for any of them.]
MATH-2212: Calculus of One Variable II

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