1 ∫03sin(2x)1+x2dx{\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=∫abf(x)dx{\displaystyle I=\int _{a}^{b}f(x)\,dx} is
4 ∫03sin(4x)e−2xdx{\displaystyle \int _{0}^{3}sin(4x)e^{-2{x}}\,dx}
5 ∫0.0411xdx{\displaystyle \int _{0.04}^{1}{\frac {1}{\sqrt {x}}}\,dx}