$xy^'+3y=2x^5\:\:,\:y\left(2\right)=1$

$\int\frac{-14}{x^2\sqrt{x^2+25}}dx$

$\int\frac{\left(-7\right)}{sqrt\left(x^2+16\right)}dx$

$-13\:-\:5w\:+\:11w\:+2$

$\lim_{x\to\infty}\left(\frac{x+3}{3}\right)^{4x+1}$

$2xln\left(1+\frac{1}{x}\right)$

$\int\left(2y\right)\sqrt{\left(1+y^4\right)}dy$