Trapezoidal rule

Calculus Level 5

Consider the integral $I = \int_0^\pi \sin^2(x) \, dx.$ Let $E_N = I - T_N$ be the error in estimating $I$ using the trapezoidal rule with $N$ equal-sized intervals. ( $T_N$ is the estimate.)

What is $100E_{100},$ to three decimal places?