$$\int_{\frac{\pi}{4}}^{\frac{\pi}{3}}\left(\frac{\cos\left(x\right)+\sin\left(x\right)}{\sin^2\left(x\right)}\right)dx$$

$$\int\left(\frac{x}{\left(4x-x^2\right)^{\frac{3}{2}}}\right)dx$$

$$\csc\left(x\right)\left[\csc\left(x\right)-\sin\left(-x\right)\right]=\cot^2\left(x\right)$$

$$\frac{d}{dx}2x+1$$

$$7a-3a^2+2a^2$$

$$tan^{\left(2\right)}x\left(csc^{\left(2\right)}x-1\right)=1$$

$$\int3x^2\left(x^3+6\right)^2dx$$