Area of region bounded by graphs $y=\cos x$ , $y= x$ and $y$-axis.

Question

I am currently stuck on this integration question in Calculus.

What is the area of the region in the first quadrant enclosed by the graphs of $y = \cos x$ , $y = x$ and the $y$-axis?

I had drawn out the graph and I have no idea how to find the point of intersection. I am stuck at finding the boundary when $x=\cos x$. Any help would be greatly appreciated !

score 2 · Answer 1 · edited Apr 13 '17 at 12:21

2

$f(x)=cosx-x$ is a transcendental equation so there are no exact solution but you can get approximation. Check this out Solving $\cos x=x$. You can use the approximation to get the approximate answer as $\int_0^{0.7391} (\cos x-x)dx$

edited Apr 13 '17 at 12:21

Community

1

answered Dec 27 '16 at 10:05

user1131274

1,678

It is more accurate $;0.7391;$ ... – DonAntonio Dec 27 '16 at 10:42

Area of region bounded by graphs $y=\cos x$ , $y= x$ and $y$-axis.

1 Answers1