Recent content by Calculus Master

1. If flat car is given an acceleration a = 3 m/s^2 starting from rest, compute tension (in N) in the light inextensible string connected to block A of mass 30 kg. Coefficient of friction between block and flat car is = 0.50. Neglect mass of pulley and its friction. Take g = 10. 2. Friction...

To integrate \int_{0}^{\infty}sin(x^2)dx we use \int_{0}^{\infty}sin(x^n)dx =\Gamma{(1 + \frac{1}{n})}\sin{\frac{\pi}{2n}} = \frac{\sqrt{\pi}}{2\sqrt{2}}

\int{\sin{2x}\cos{2x}dx} = \frac{1}{2} \int{\sin{4x}} = -\frac{1}{8} \cos{4x}