y = sinx and y = 1 - x^2
to find the area between them, you need to know where they cross and find the antiderivate of the difference between them.
the two functions meet at -1.4143 and .6323
so find the antiderivative of 1 - x^2 - sinx and evaluated f(b) - f(a)
antiderivative is x - x^3/3 + cosx
f(-1.4143) = -.3155
f(.6323) = 1.355
1.355 - (-.3155) = 1.67