Learning Guide Learning Guide

166 • Chapter 5: Evaluation and Simplificationint/cook/nogo1:Given IntegralInt(exp(x),x = 0 .. infinity)Fits into this pattern:Int(exp(-Ucplex*x^S1-U2*x^S2)*x^N*ln(B*x^DL)^M*cos(C1*x^R)/((A0+A1*x^D)^P),x = t1 .. t2)int/cook/IIntd1:--> U must be will use limit to find if integral is +infinity--> or - infinity or undefined∞Logarithms are multiple-valued. For general complex values of x, ln(e x )is different from x.> ln( exp( 3*Pi*I ) );π ITherefore, Maple does not simplify the following expression unless itis known to be correct, for example, when x is real.> ln(exp(x));ln(e x )> assume(x, real);> ln(exp(x));x~You can use the is command to directly test the properties of unknowns.> is( c>0 );true> is(x, complex);true