Complete the integrals
$\displaystyle\int \frac{\sin(x)dx}{\sin(x)+\cos(x)}$
$\displaystyle\int_{0}^{\infty } x^{-5}\sin(x)dx$
Find the following limit
$\displaystyle\lim_{x \to \infty } \frac{x^{3}+\sin^{3}x}{x^{3}+\cos^{3}x}$
Thanks!
Complete the integrals
$\displaystyle\int \frac{\sin(x)dx}{\sin(x)+\cos(x)}$
$\displaystyle\int_{0}^{\infty } x^{-5}\sin(x)dx$
Find the following limit
$\displaystyle\lim_{x \to \infty } \frac{x^{3}+\sin^{3}x}{x^{3}+\cos^{3}x}$
Thanks!