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Integral of $$$\ln\left(\sqrt{a} x \left|{x}\right|\right)$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$\ln\left(\sqrt{a} x \left|{x}\right|\right)$$$ with respect to $$$x$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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Find $$$\int \ln\left(\sqrt{a} x \left|{x}\right|\right)\, dx$$$.

Related Notes: Substitution (Change of Variable) Rule , Integration by Parts , Concept of Antiderivative and Indefinite Integral , Integrals Involving Trig Functions , Trigonometric Substitutions In Integrals , Integrals Involving Rational Functions , Integration Formulas (Table of Indefinite Integrals) , Properties of Indefinite Integrals , Table of Antiderivatives