Answer Check!! Medal!!
Find the area of the region bounded by the curves y = x2 − 1 and y = cos(x). Give your answer correct to 2 decimal places.

I got 1.56

Question

Answer Check!! Medal!!
Find the area of the region bounded by the curves y = x2 − 1 and y = cos(x). Give your answer correct to 2 decimal places.

I got 1.56

trisarahtops · Answer

@ganeshie8

trisarahtops · Answer

@freckles

xguardians · Answer

Are you allowed calculators on this?

trisarahtops · Answer

yes

xguardians · Answer

Graph the two slopes on your calculators, then find the point in which they intersect.

trisarahtops · Answer

attachment

xguardians · Answer

$$\int\limits_{lowlimit}^{intersect} f(x)$$
Of the one that is on top,
then do the same thing for the bottom one and subract it.

xguardians · Answer

In this case, you can just do from 0 to the point of intersection, and after you get your solution, just multiply it by two.

trisarahtops · Answer

why do I multipy by 2? @xGuardians

trisarahtops · Answer

if my i have $$\int\limits_{1.175}^{0} \cos(x) - (x^2-1) dx  = 1.556$$

trisarahtops · Answer

@xGuardians

xguardians · Answer

Why did you put 1.175 on the bottom?

xguardians · Answer

The reason you multiply by two, is that you need both sides of the y-axis, unless they only wanted one side in the equation.

trisarahtops · Answer

srry I meant to put it on the top. anyway well then 1.556 *times two is 3.112 @xGuardians

xguardians · Answer

That should be the correct solutions, good job.