GATE Civil Engineering

0 votes

The integral $\int_{x_{1}}^{x_{2}}x^{2}\:dx$ with $x_{2}>x_{1}>0$ is evaluated analytically as well as numerically using a single application of the trapezoidal rule. If $I$ is the exact value of the integral obtained analytically and $J$ is the approximate value obtained using the trapezoidal rule, which of the following statement is correct about their relationship?

- $J>I$
- $J<I$
- $J=I$
- Insufficient data to determine the relationship

1,042 questions

95 answers

26 comments

44,027 users