Expand the function \(f(t)=\cos (\pi t)\) in BPF domain for \(m=10\) and \(T=1\) \(\mathrm{s}\) and then integrate it using the operational matrix for integration \(\mathbf{P}_{\mathrm{B}}\).

Also, using the BPF expanded form of \(f(t)\), the operational matrix for integration \(\mathbf{P}_{B}\) and the stretch matrix \(\mathbf{S}_{B}\) in BPF domain, integrate the function \(f(t / \lambda)\) when \(\lambda=0.5\). Draw the BPF expanded forms of both the integrations of \(f(t)\) and \(f(t / \lambda)\) in the same plot.