Question

find the area enclosed by y=cos(x^2) and y=x^2

Answer 1

Firstly, find the intersections of the two formulas?

Answer 2

how

Answer 3

When does cos(x^2)=x^2?

Answer 4

i do not know how to solve it

Answer 5

Try graphing cos(x^2) and x^2 for a clue. You can do it at http://www.graphsketch.com/ if you don't have anything to graph with. Look for the intersections.

Answer 6

ok let me try

Answer 7

pease help me

Answer 8

You can see a nicer solve at http://www.wolframalpha.com/input/?i=x%5E2+%3D+cos%28x%5E2%29. It's a fairly tough question, because you need that intersection for your limits of integration, and it doesn't come out to anything nice that I can see.