$$\int\frac{t^5}{\left(t^2+4\right)^2}dx$$

$$\int\frac{2x^4-5\sqrt[5]{x}}{4x}dx$$

$$tan^2x-sec^2x=-1$$

$$\frac{\sin\left(a+x\right)}{cos\left(a\right)cos\left(x\right)}$$

$$e^{2x}-5e^x+6=0$$

$$\left(x-\frac{3}{4}\right)\left(x\right)$$

$$\int\frac{x+2}{x^2+4x+13}dx$$