$$\int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\left(8sec^4\left(x\right)\right)dx$$

$$\lim_{t\to\infty}\left(\frac{2e^{2t}-3}{7+5e^{4t}}\right)$$

$$\int_0^{\frac{\pi^2}{4}}\left(\sin\left(\sqrt{x}\right)\right)dx$$

$$\frac{1}{\sec^2\left(x\right)}=\sin^2\left(a\right).\cos^2\left(a\right)+\cos\left(a\right)$$

$$\int ln9x\cdot\cos\left(x\right)dx$$

$$6a^{2-1}-8a^{2-1}$$

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