$$\int_{-1}^15x\:dx$$

$$\int\left(\left(2\:+\:\frac{2}{x}\right)\:\sin\left(x\:+\:\ln\:\left(x\right)\right)\right)dx$$

$$\frac{dy}{dx}\left(\cos\left(y\right)+\cos\left(x\right)=3y\right)$$

$$15-4\cdot3$$

$$\frac{4x}{x-1}-\frac{3x}{x-3}=-\frac{14}{x^2-4x+3}$$

$$2\log3\left(5^x\right)-\log3\left(4^x\right)$$

$$\frac{d^{\prime}}{dx^{\prime}}\left(\frac{e^{x}}{\sqrt{x}}\right)$$