Prove that the improper integral is convergent for
Maple:
int(sin(x)/x^2,x=1..infinity);
abs(sin(x)/x^2)<=1/x^2; int(1/x^2,x=1...infinity);
Mathematica:
{Intergrate[Sin[x]/x^2,{x,1,Infinity}],
Abs[Sin[x]/x^2]<=1/x^2, Integrate[1/x^2,{x,1,Infinity}]}
From above you can see the syntax differences. Whether it's going to be maple or mathematica or maxima or sage ... the most important --- learn computer algebra system!
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