Transcription of 3 CCHHAAPTTEERR 1133 2 1 Definite Integrals - Math Help
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3 CCHHAAPTTEERR 1133 2 1 Definite Integrals - Math Help
337 C H A P T E R 1 3C H A P T E R 1 3 Definite Integrals Since integration can be used in a practical sense in many applications it is often useful to have Integrals evaluated for different values of the variable of integration. Frequently we wish to integrate an expression between some limits. The practical significance of this will be explained later in this chapter. For example, if we wish to integrate 22xx+ between 1x= and 3x= then we write 3212 xxdx+!which is 33213xx!"+#$%&. Mathematically this means find the value of 323xx+ when 3x= and then subtract the value of 323xx+ when 1x=. ()3332211122 99116333xxxdxx!"#$+=+=+%+=&'()*+, Similarly ()442333223 4272xdxx!!"#==!!=$%& And also []22211111 1 lnxdxdxxxxx+!
337 CCHHAAPTTEERR 1133 Definite Integrals Since integration can be used in a practical sense in many applications it is often useful to have integrals evaluated …
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