User:GrigorIII

1.Prove
 * $$\frac{x^4(1-x)^4}{1+x^2} >= 0 $$

2.Find A to H
 * $$\frac{x^4(1-x)^4}{1+x^2} = Ax^6+Bx^5+Cx^4+Dx^3+Ex^2+Fx+G+\frac{H}{1+x^2}$$

3. Find
 * $$\int_0^1\frac{x^4(1-x)^4}{1+x^2}\,dx$$

Given
 * $$\frac{d}{dx}\arctan{x}\ = \frac{1}{1+x^2}\ $$

4.Prove
 * $$ \frac{22}{7}>\pi $$