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Integral of (3x^2+2)^(1/4) * x

Antiderivatives warmup

Find \( \int (3x^2+2)^{1/4} x \, dx \).
calculus-iindefinite-integralintegration-by-substitutionpower-ruleevaluate-integralalgebraic-functionsfractional-exponentsantiderivatives

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What you need first

What this problem tests

Tests the ability to recognize when to use u-substitution and correctly apply the power rule for integration with fractional exponents.

This is a standard introductory calculus problem for practicing integration by substitution.

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