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Integral of $$$\frac{4 \sqrt{x \ln\left(x\right)} \cos{\left(2 \ln\left(x\right) \right)}}{3}$$$

The calculator will find the integral/antiderivative of $$$\frac{4 \sqrt{x \ln\left(x\right)} \cos{\left(2 \ln\left(x\right) \right)}}{3}$$$, with steps shown.

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Find $$$\int \frac{4 \sqrt{x \ln\left(x\right)} \cos{\left(2 \ln\left(x\right) \right)}}{3}\, dx$$$.

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