-
Integrate- \int_{0}^{1}{2(tan^{-1}x)^2}dx ...
-
1)...... let A0 denotes the area bounded by f_{n}(x)=\left|\frac{sin(8nx)+cos(8nx)}{x} \right| , x -axis,y-axis and the line x=\pi /8 the prove that A_{n}>\frac{2\sqrt{2}}{\pi }\left[1+\frac{1}{2}.......\frac{1}{n} \right] ...
-
Consider the infinitely tall system of identical massive cylinders and massless planks shown in Fig. The moment of inertia of the cylinders is I = MR2/2. There are two cylinders at each level, and the number of levels is infi ...
