calculus and analysis - Piecewise functions Integration with symbol

I want to integrate one piecewise functions as following,

Assuming[ {t1 ∈ Reals && t1 > 0, t ∈ Reals && t > 0}, 

 Integrate[
  Piecewise[{{1,    x > 0    && x < t1}, 
            {-1,    x > t1   && x < 2*t1}, 
            {1,     x > 2*t1 && x < 3*t1},
            {1 - 1, x > 3*t1 && x < 4*t1},
            {0, True}}, x], {x, 0, t}]]

I have assumed t1>0 and why the output is as the picture shown enter image description here ?

Comments

plotting - Plot 4D data with color as 4th dimension

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plotting - Filling between two spheres in SphericalPlot3D

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plotting - Mathematica: 3D plot based on combined 2D graphs

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