(Solved): (12) Estimate the area under the curve \( y=\sin x \) from \( x=1 \) to \( x=2 \) using right endp ...

(12) Estimate the area under the curve \( y=\sin x \) from \( x=1 \) to \( x=2 \) using right endpoints with \( n=4 \) A) \( \left(\sin \left(\frac{5}{4}\right)+\sin \left(\frac{3}{2}\right)+\sin \left(\frac{7}{4}\right)+\sin (2)\right) \) B) \( \frac{1}{2}\left(\sin \left(\frac{5}{4}\right)+\sin \left(\frac{3}{2}\right)+\sin \left(\frac{7}{4}\right)+\sin (2)\right) \) C) \( \frac{1}{4}\left(\sin (1)+\sin \left(\frac{5}{4}\right)+\sin \left(\frac{3}{2}\right)+\sin \left(\frac{7}{4}\right)+\sin (2)\right) \) D) \( \frac{1}{4}\left(\sin (1)+\sin \left(\frac{5}{4}\right)+\sin \left(\frac{3}{2}\right)+\sin \left(\frac{7}{4}\right)\right) \) E) \( \frac{1}{2}\left(\sin (1)+\sin \left(\frac{5}{4}\right)+\sin \left(\frac{3}{2}\right)+\sin \left(\frac{7}{4}\right)\right) \) F) \( \frac{1}{4}\left(\sin \left(\frac{5}{4}\right)+\sin \left(\frac{3}{2}\right)+\sin \left(\frac{7}{4}\right)+\sin (2)\right) \)