A student evaluates ∫−11x3dx\int_{-1}^{1} x^3 dx∫−11x3dx and gets a non-zero result. Why is this incorrect?
The function x3x^3x3 is not continuous on [−1,1][-1, 1][−1,1].
The function is odd and the interval is symmetric about the origin.
The function is even and the integral must be positive.
The power rule cannot be applied to negative bounds.