Calculate the shaded area between the two curves below. \(y=x^{2}\) and \(y=2x-x^{2}\) Firstly, we need to prove whether or not the curve and straight line actually intersect at all by using the ...

To calculate the area between a curve and the \(x\)-axis we must evaluate using definite integrals. First, we need to find out where the curve cuts the \(x\)-axis. Remember, a curve cuts the \(x ...