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Question: Piecewise integral

Question:Piecewise integral

pazduha 20 Maple
integration piecewise
October 06 2021
2

I have piecewise functon:

k := piecewise(t < t1, kmax, t1 <= t, -kmax, 2*t1 + sqrt(2)*t1 <= t, kmax, 3*t1 + 2*sqrt(2)*t1 <= t, -kmax, 4*t1 + 2*sqrt(2)*t1 <= t, 0)

Everything is a constant except time t. 

I need to Integrate it 4 times. 

sol := int(k, [t = 0 .. t, t = 0 .. t, t = 0 .. t, t = 0 .. t])

I only get result for the first two conditions from the piecewise functon (t < t1, kmax, t1 <= t, -kmax)

I need the result for complete piecewise functon. Also converting to Heaviside doesn't work. I am a complete math moron. Ty
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