User:GrigorIII

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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