Solve the Problem $\int _ { 1 } ^ { 4 } \left( 4 x ^ { 2 } + 7 \right) d x$

question 148

Multiple Choice

Solve the problem.
-Estimate the minimum number of subintervals needed to approximate the integral $\int _ { 1 } ^ { 4 } \left( 4 x ^ { 2 } + 7 \right) d x$ with an error of magnitude less than $10 ^ { - 4 }$ using the Trapezoidal Rule.

• A) 213
• B) 849
• C) 425
• D) 82

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Definitions:

Significant Figures

The number of meaningful digits used to express a value accurately in measurements and calculations.

Accuracy

The degree to which the result of a measurement, calculation, or specification conforms to the correct value or a standard.

Precision

The degree to which repeated measurements under unchanged conditions show the same results.