# SECTION 7.2# Example 1assume(s>0);Int(exp(-s*t)*1,t=0..infinity);

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value(%);

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Int(exp(-s*t)*1,t=0..N);

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value(%);

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Limit(%,N=infinity);

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value(%);

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# Example 2 restart;Int(exp(-s*t)*exp(a*t),t=0..N);

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value(%);

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assume(s>a);Limit(%,N=infinity);

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value(%);

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# Example 3restart;Int(exp(-s*t)*sin(b*t),t=0..N);

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value(%);

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assume(s>0);Limit(%,N=infinity);

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value(%);

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# Example 4restart;I1 := Int(exp(-s*t)*2,t=0..5);

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I1 := value(%);

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I2 := Int(exp(-s*t)*0,t=5..10);

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I2 := value(%);

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I3 := Int(exp(-s*t)*exp(4*t),t=10..N);

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I3 := value(%);

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assume(s>4);Limit(%,N=infinity);

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value(%);

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I3 := %;

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I1+I2+I3;

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