A long, straight wire carrying a steady current \(I_1\) in the \(+y\)-direction lies along the \(y\)-axis in the \(xy\)-plane. In the region \(x > 0\), a thin semicircular wire of radius \(R\) is centered at the point \((d, 0)\), where \(d > R\), and carries a steady counterclockwise current \(I_2\). Points on the semicircle are parameterized by the angle \(\theta \in [-\pi/2, \pi/2]\) measured relative to the \(+x\)-axis, such that the position of an element on the wire is \((d + R\cos\theta, R\sin\theta)\). Which of the following integral expressions correctly represents the magnitude of the net magnetic force exerted on the semicircular wire by the straight wire?