$$\lim_{x\to\infty}\left(\sin\left(x\right)\right)^x$$

$$\frac{dx}{dt}=\frac{x}{t}+\frac{1}{1+t^2}$$

$$\int\frac{3}{5}e^xdx$$

$$\int\frac{\left(5\right)}{\left(t+7\right)^7}dt$$

$$sin\left(2\theta\right)=\frac{\sqrt{3}}{2}$$

$$4\left(5x-6\right)+3\left(2x-5\right)$$