The value of ∫30∫9y2y.cos(x2)dxdy after reversing the order is
Answers
Answer:
I forgot the answer I will tell u when I remember
Answer:
∫ba∫dccos(x2) dydx,∫ab∫cdcos(x2) dydx
Step-by-step explanation:
So here our goal is to reverse the order of integration and you do this because it make the integrals easier to calculate. So first we take a look at the region in questions. That way we actually reverse the order. And in this case, it looks like is why equals X squared and y equals one. So it's this region right here when X is more than or equal to one way, you can even put this in here. So zero is less than or equal to backs, which is less than or equals to one. So it's this region here on Day two, Reverse the orders of integration. We notice that X goes from zero to the square root of y and y goes from 0 to 1. So we're going to reverse the orders of integration. We will have the integrals from 0 to 1, the integrals from zero to the square root of y, which is equals to the square root of y time sign y the x d y. Then, just looking at this portions right here of the integral, we calculate this and find that it's going to be equal to the square root. y is the square root of y sign y And it's zero. Or just that times the square root of why fine wine, which can be ultimately simplified too. this ultimately just be simplified down to y sign x on board? When we calculate this, we can use the substitution methods and ultimately we get that this is equals to the sign of one minus the cos of one. We see that these answers check out which tell us that we did it correctly. And therefore, we have the right answer and this just show us that when we're able to change the art of integration, it often makes integration much easier to do.
#SPJ2