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

You want to integrate the function
.. f(x) = cos(x) -x^2
between its zeros, which are near ±0.8241. These zeros can be determined from a graph of the function.

Once the integration limit is found, the function can be integrated analytically to get
.. area = 2(sin(0.8241) -(1/3)(0.8241)^3) ≈ 1.09