Evaluate the definite integral of a simple quadratic polynomial over a closed interval.

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Definite Integral of a Quadratic Polynomial

The definite integral warmup

\(\int_{-1}^{3} (3x^2 - 2x + 1) \, dx\)

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What you need first

basic polynomial integration
evaluating functions at specific values
arithmetic with negative numbers

What this problem tests

Tests the ability to integrate polynomials term-by-term and correctly evaluate the resulting expression at the upper and lower limits, paying attention to negative signs.

This is a standard introductory problem in Calculus I, testing the basic mechanics of finding an antiderivative and applying the Fundamental Theorem of Calculus.

Definite Integral of a Quadratic Polynomial

What you need first

What this problem tests

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