Find $\displaystyle\int\nolimits_{0}^{n}{\left| \sin x-\cos x \right|}\mathrm{ d}x$, in terms of \

Question

Find $\displaystyle\int\nolimits_{0}^{n}{\left| \sin x-\cos x \right|}\mathrm{ d}x$, in terms of ${n}$, where ${\frac{\pi}{4} < n < \frac{\pi}{2}}$.

Accepted Answer

$\frac{4}{\sqrt{2}}-1-\sin n-\cos n$

RI Integration Tutorial Q2