$$\left(x+1\right)\frac{dy}{dx}+y=x^2-1$$

$$\left(\frac{1}{2}a^2+\:2\right)^3$$

$$\int100x^3cos\left(5x^4+3\right)dx$$

$$\frac{3+x^3-5x}{x^2+x}$$

$$\left(x^6+7y^3\right)\left(x^6+2y^3\right)$$

$$\left(\sin a\right)\left(\tan a\right)\left(\sec a\right)+1$$

$$\cos^2x+1\cos\left(x\right)\sec\left(x\right)=\csc\left(x\right)^2$$