User:X!/math

\int_{x}^{x^2} \sum_{i=1}^80 \end{bmatrix}=0 $$
 * 1) $$\sqrt{\frac{5}{3}} \times \sqrt{\frac{3}{5}}=1$$
 * 2) $$3\sqrt{\frac{4}{16}} \div 18\sqrt{\frac{3}{5}x}=(86.4x)^{-\frac{1}{2}}$$
 * 3) $$\int_{1}^{3}\frac{e^3/x}{x^2}\, dx=\frac{4}{9}e^{3}$$
 * 4) $$\textstyle \int\limits_{-N}^{N} e^x\, dx=2 \sinh N$$
 * 5) $$\textstyle \lim_{n \to \infty} \sum_{x=1}^N x^2=\frac{N(N+1)(2N+1)}{6},n \neq N$$
 * 6) $$\begin{bmatrix}