mat132 calculus 2 practice problems for midterm 1 stony brook university fall 2021 problem 1 compute the following integrals z 1 e x dx 2x 3 solution z 1 x ...
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...Mat calculus practice problems for midterm stony brook university fall problem compute the following integrals z e x dx solution ln c cos xdx since cosx we have sin write u then du and therefore equivalently can make a substitution in denite integral lnx xcos integrating by parts obtain xsin let r denote region plane bounded curves y andy express area of as b evaluate part picture thus is us rst multiplying common denominator set or particle moving along axis its speed at any time t given terms formula total distance traveled during interval dt dy lnydy with lny dv find arc length curve where q...