# Numerical Integration

Not what you're looking for? Search our solutions OR ask your own Custom question.

It is required to use the Trapezium's rule to evaluate the integral of sin(x)^2 from 0 to pi/2 to four decimal place accuracy. Use the error bound formula to recommend the number of panels n.

Find the Trapezium rule approximation of the integral with n=2 and compare with the exact value. Does this result contradict your part (a) answer?

The initial-value problem is given by dy/dx=x+sqrt(y) , y(0) = 1.

Use Runge-Kutta's method with step size h = 0.1 to find the value of y(0.1) correct to 3

https://brainmass.com/math/integrals/numerical-integration-trapezium-rule-error-bound-formula-95824

## SOLUTION This solution is **FREE** courtesy of BrainMass!

All the necessary formulas and numerical steps are provided in the attached solution

Â© BrainMass Inc. brainmass.com October 5, 2022, 2:19 am ad1c9bdddf>https://brainmass.com/math/integrals/numerical-integration-trapezium-rule-error-bound-formula-95824