# Find an integral for which the trapezium method always gives an underestimate. Explain why.?

• Find an integral for which the trapezium method always gives an underestimate. Explain why.?

... so the trapezium rule gives a method of estimating integrals. This is useful when we come across integrals that ... If we want to find the area ...
Positive: 85 %
Numerical Methods: The Trapezium Rule and Simpson's Rule. ... the integral \int_0^1\cos(x^3+x) ... (though not always) ...
Positive: 82 %

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Would Romberg’s method help here? Explain. ... expressions or give reasons why they are ... iterations for each method. What is the exact solution?
Positive: 85 %
For example the Trapezoidal rule gives the ... This paragraph explains why the ... Section 7.7 Using the Form of the Error Term to Estimate Accuracy
Positive: 80 %
MATLAB for M152B P. Howard Spring 2009 ... and for each of these methods we give upper bounds ... approximation by evaluation at right endpoints always ...