Double integral of cos (y^2) dy dx, where y=1 , y=x, x=0, x=1 are the bounds

Change the order of integration. The region over which you're integrating can be equivalently described by the set of points in the plane, .

Then the integral becomes

Substitute , :

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1