Evaluate the definite integral of x^(3/2) from 1 to 16.

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Definite Integral of a Fractional Power

The definite integral warmup

\(\int_{1}^{16} x^{3/2} \, dx\)

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What you need first

the power rule for integration
the Fundamental Theorem of Calculus
how to evaluate fractional exponents

What this problem tests

Tests the ability to apply the power rule for integration to fractional exponents and correctly evaluate the resulting expression at the limits of integration.

This is a standard introductory calculus problem testing basic integration rules and arithmetic with fractional powers.

Definite Integral of a Fractional Power

What you need first

What this problem tests

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