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# Numerical Integration

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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

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This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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