$$f\left(x\right)=\left(x-5\right)^4.\left(7-x\right)^{10}$$

$$\left(\left\{-\frac{1}{5}\right\}^{\frac{7}{3}}\right)\:\:\left(\left\{-\frac{1}{5}\right\}^7\right)$$

$$\sqrt[3]{8x^3y^5}$$

$$4\le x+1$$

$$\int\frac{\arctan\left(\frac{x}{2}\right)}{4+x^2}dx$$

$$\int\left(\frac{12tan^{-1}\left(\frac{1}{x}\right)}{x^3}\right)dx$$

$$\frac{1}{2}+\:\frac{6}{4}$$