Question

y=cos(x) , -2pi 12 years ago

Answer 1

you want integral of cos x in the given limits.

Answer 2

\[y=\int\limits_{-2\pi}^{2\pi}\cos x~dx\]
\[\cos \left( -x \right)=\cos x\]
it is an even function.
\[y=2 \int\limits_{0}^{2\pi}\cos x~dx=2\times 4\int\limits_{0}^{\frac{ \pi }{ 2 }}\cos x~dx=8 \sin x,from~ 0~ \to \frac{ \pi }{ 2 }\]
\[=8\left( \sin \frac{ \pi }{ 2 }-\sin 0 \right)=?\]