Computing Laplace and Inverse Laplace Transforms 

(from integrals and the laplace, invlaplace commands) 

>	Int(exp(-s*t)*sin(2*t),t=0..infinity);

 

>

value(%);

 

>	assume(s>0);

 

Int(exp(-s*t)*sin(2*t),t=0..infinity); 

value(%); 

simplify(%); 

with(inttrans): 

laplace(sin(2*t),t,s); 

laplace(exp(3*t)*cos(4*t),t,s); 

Take off the assume. 

s:='s'; 

laplace(sin(2*t),t,s); 

laplace(exp(3*t)*cos(4*t),t,s); 

invlaplace((s^2+3*s+8)/(2*s^4-7*s^3+4*s^2+7*s-6),s,t); 

convert((s^2+3*s+8)/(2*s^4-7*s^3+4*s^2+7*s-6),parfrac,s); 

invlaplace(-118/(10*s-15)-1/(5*s+5)+6/(s-1)+6/(s-2),s,t);