$\int_1^{\infty}\frac{e^x+x+\ln\left(x\right)}{x^3}dx$

$\frac{tanx}{secx-1}-\frac{tanx}{secx+1}$

$\int\left(\frac{8\sin\left(4x\right)}{cos^6\left(4x\right)}\right)dx$

$\int_0^{\frac{\pi}{4}}\left(cos^27xsin^27x\right)dx$

$9a^2-6a+5-10a^2+25$

$\cos\left(x-3\right)\left(\sqrt{2}-2\sin\left(x\right)\right)=0$

$\int\left(\frac{2}{\left(x+1\right)\left(x+3\right)}\right)dx$