1 ∫ 0 3 s i n ( 2 x ) 1 + x 2 d x {\displaystyle \int _{0}^{3}{\frac {sin(2x)}{1+x^{2}}}\,dx}
2 Romberg Integration is an extrapolation formula of the trapezoidal rule for integration.
3 True error in a multiple segment Trapezoidal rule with n segments for an integral I = ∫ a b f ( x ) d x {\displaystyle I=\int _{a}^{b}f(x)\,dx} is
4 ∫ 0 3 s i n ( 4 x ) e − 2 x d x {\displaystyle \int _{0}^{3}sin(4x)e^{-2{x}}\,dx}
5 ∫ 0.04 1 1 x d x {\displaystyle \int _{0.04}^{1}{\frac {1}{\sqrt {x}}}\,dx}