Practice:Sarita latex

$$x^2+x^3$$

$$x^{x^2+y^2}$$

$$x_1^2+y_1^2 $$

$$x^{sin\theta}$$

$$\int{sinx}~ dx $$

$$\int_0^2{x^3}~dx $$

$$\int_0^\pi{sinx}~dx $$

$$\iint{x^5}~dx $$

$$\frac{1}{2} $$

$$\begin{pmatrix} 2 & 3 & 9\\~2 & 5 & 6\\2 & -1 & 4\end{pmatrix} $$

$$\frac{d^2y}{dt^2}+{\omega^2}y=0 $$

$$\frac{1}{2!} $$

$$\frac{dy}{dx} $$