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

$\frac{22}{7}>\pi$