GATE Questions & Answers of Integration By Trapezoidal Rule

What is the Weightage of Integration By Trapezoidal Rule in GATE Exam?

Total 5 Questions have been asked from Integration By Trapezoidal Rule topic of Numerical Methods subject in previous GATE papers. Average marks 1.60.

Usiing the trapezoidal rule, and dividing  the interval of integration into three equal subintervals, the definite integral $\int\limits_{-1}^{+1}\left|x\right|\;\mathrm{dx}$ is_______

The value of $\int\limits_{2.5}^4\ln\left(x\right)dx$ calculated using the Trapezoidal rule with five subintervals is _______

The definite integral 131xdx is evaluated using Trapezoidal rule with a step size of 1. The correct answer is _______

Match the CORRECT pairs.

Numerical Integration Scheme Order of Fitting Polynomial
P. Simpson’s 3/8 Rule 1. First
Q. Trapezoidal Rule 2. Second
R. Simpson’s 1/3 Rule 3. Third

A calculator has accuracy up to 8 digits after decimal place. The value of $\int\limits_0^{2\pi}\sin x\operatorname{d}x$ when evaluated using this calculator by trapezoidal method with 8 equal intervals, to 5 significant digits is