Integral of Radicals

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How to Find the Integral of Radicals

How to Find the Integral of Radicals

To integrate a radical, rewrite the root as a fractional exponent and use the power rule: ∫√x dx = ∫x^(1/2) dx = (2/3)x^(3/2) + C. When the radical contains a more complicated expression, such as √(3x + 1), use u-substitution; forms like √(a² − x²) usually call for a trigonometric substitution. Integrating functions with radical […]