Question # 5) Solve the below integrals:
a.
\(\int_0^{2\pi} \cos^3 t \,dt\)
b.
\(\int_0^{2\pi} \sin(4t) \cdot \cos(5t) \,dt\)
c.
\(\int_0^{2\pi} \sin(10t) \cdot \sin(4t) \,dt\)
d.
\(\int_{\pi/6}^{\pi/2} 3 \cos(t) \cdot 3 \cos(t) \,dt\)
e.
\(\int_0^{2\pi} \cos(2t) \cdot \cos(7t) \,dt\)