Find the area of the region bounded by the given curves.
$$y = \cos x , y = \sin 4 x , x = 0 , x = \frac { \pi } { 2 }$$
A) 4
B) 1
C) $\frac { 1 } { 3 }$
D) $\frac { 1 } { 4 }$
E) 2

Question

Quizplus · Accepted Answer

The area is found by integrating the absolute difference of the functions from 0 to $\frac{\pi}{2}$. The integral of $|\cos x - \sin 4x|$ over this interval evaluates to 1.

Find the Area of the Region Bounded by the Given y=cos⁡x,y=sin⁡4x,x=0,x=π2y = \cos x , y = \sin 4 x , x = 0 , x = \frac { \pi } { 2 }y=cosx,y=sin4x,x=0,x=2π​

Find the Area of the Region Bounded by the Given $y = \cos x , y = \sin 4 x , x = 0 , x = \frac { \pi } { 2 }$