Transcription of Practice Integration Z Math 120 Calculus I
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Practice IntegrationMath 120 Calculus ID Joyce, Fall 2013 This first set of indefinite integrals, that is, an-tiderivatives, only depends on a few principles ofintegration, the first being that Integration is in-verse to differentiation. Besides that, a few rulescan be identified: a constant rule, a power rule,linearity, and a limited few rules for trigonometric,logarithmic, and exponential functions. k dx=kx+C,wherekis a constant xndx=1n+ 1xn+1+C,ifn6= 1 1xdx= ln|x|+C kf(x)dx=k f(x)dx (f(x) g(x))dx= f(x)dx g(x)dx sinxdx= cosx+C cosxdx= sinx+C exdx=ex+C 11 +x2dx= arctanx+C 1 1 x2dx= arcsinx+CWe ll add more rules later, but there are plenty hereto get acquainted s a list of Practice exercises. There s a hintfor each one as well as an answer with (x4 x3+x2)dx.
integration, the rst being that integration is in-verse to di erentiation. Besides that, a few rules can be identi ed: a constant rule, a power rule, linearity, and a limited few rules for trigonometric, logarithmic, and exponential functions. Z kdx= kx+ C; where kis a constant Z xn dx= 1 n+ 1 xn+1 + C; if n6= 1 Z 1 x dx= lnjxj+ C Z kf(x)dx= k ...
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