CALCULUSHigher Concepts of Mathematicsf(x) = ae^{bx}(5-19)f(x)dx ^{a}be^{bx}cAs with the techniques for finding the derivatives of functions, these general techniques forfinding the integral of functions are primarily important only to those who perform detailedmathematical calculations for dynamic systems. These techniques are not encountered in theday-to-day operation of a nuclear facility. However, it is worthwhile to understand that takingan integral is the reverse of taking a derivative. It is important to understand what integral andderivatives are in terms of summations and areas under graphical plot, rates of change, andslopes of graphical plots.SummaryThe important information covered in this chapter is summarized below.Derivatives and Differentials SummaryThe derivative of a function is defined as the rate of change of one quantitywith respect to another, which is the slope of the function.The integral of a function is defined as the area under the curve.end of text.CONCLUDING MATERIALReview activities:Preparing activity:DOE - ANL-W, BNL, EG&G Idaho, DOE - NE-73EG&G Mound, EG&G Rocky Flats,Project Number 6910-0020/2LLNL, LANL, MMES, ORAU, REECo, WHC, WINCO, WEMCO, and WSRC.MA-05 Page 46Rev. 0

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