how to integrate[Ae^-bt*u(t)].b>0,u(t) is a step function.from -infinity to infinity?

nini_8283

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how to integrate[Ae^-bt*u(t)].b>0,u(t) is a step function.from -infinity to infinity?

dis equation is for signal classification..to classify whether it power @ energy..E=integrate [x(t)]^2 dt from - infinity to infinity..so we need to square the equation 1st b4 do the integration..the prob is..
1) i dont know how to integrate when the boundaries is infinity and there is a step function...
2) i dont know how to eliminate the exponent

the answer is so simple E=A^2/2b..thanks
 
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