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Q: Ampere's Law Confusion

Alpha RomeoI had this question recently in a test. Different methods are yielding different answers. Can someone point out the mistake? We are given 4 infinite wires carrying current out of the plane as shown. Find $$\int_{-\infty}^{+\infty} \vec{B}\cdot\,\mathrm d\vec{x} ,$$ (along x axis) My logic f...

 

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