JEE Advance - Mathematics (1982 - No. 1)
Find the value of $$\int\limits_{ - 1}^{3/2} {\left| {x\sin \,\pi \,x} \right|\,dx} $$
$$\frac{3}{\pi} - \frac{1}{\pi^2}$$
$$\frac{5}{\pi} + \frac{1}{\pi^2}$$
$$\frac{3}{\pi} + \frac{1}{\pi^2}$$
$$\frac{5}{\pi} - \frac{1}{\pi^2}$$
$$\frac{1}{\pi} + \frac{3}{\pi^2}$$