Approximate Absolute Error

• limit relative

• relative

• absolute

• limit absolute

Which of the following best describes the error estimation in numerical integration?

• The difference between the exact value of the integral and its numerical approximation

• The sum of the absolute values of the derivatives of the function being integrated

• The maximum value of the function over the interval of integration

• The number of subintervals used in the approximation method

Answer explanation

The error estimation in numerical integration is the difference between the exact value of the integral and its numerical approximation, making this the best description among the options provided.

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Round off the number 2.1514 to 3 significant digits and calculate absolute error of the resulting number. You may use *10^{-k} where k - is a power, to show right form of the error.

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