Numerical Integration and Quadrature Quiz
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Questions and Answers

For what type of function and domain are there many methods for approximating the integral to the desired precision?

  • Smooth function integrated over a small number of dimensions and bounded domain (correct)
  • Smooth function integrated over a large number of dimensions and bounded domain
  • Discontinuous function integrated over a small number of dimensions and bounded domain
  • Piecewise function integrated over a large number of dimensions and unbounded domain

    • What is another term for 'numerical integration'?

  • Cubature
  • Numerical quadrature (correct)
  • Differential integration
  • Quadrature

    • What is the basic problem in numerical integration?

  • Compute an approximate solution to a definite integral to a given degree of accuracy (correct)
  • Calculating the derivative of the integrand function
  • Finding the antiderivative of the integrand function
  • Determining the maximum and minimum of the integrand function

    • What is the term used to describe the numerical solution of differential equations?

    <p>Numerical integration</p> Signup and view all the answers

    In what situation might some embedded systems and other computer applications need numerical integration?

    <p>When the integrand function is known only at certain points, such as obtained by sampling</p> Signup and view all the answers

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