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Integral of $$$i int_{} - \sqrt{1 - x^{2}} - \frac{\sin{\left(x \right)} \tan^{2}{\left(x \right)}}{\cos{\left(3 x \right)} + 3}$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$i int_{} - \sqrt{1 - x^{2}} - \frac{\sin{\left(x \right)} \tan^{2}{\left(x \right)}}{\cos{\left(3 x \right)} + 3}$$$ with respect to $$$x$$$, with steps shown.

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Find $$$\int \left(i int_{} - \sqrt{1 - x^{2}} - \frac{\sin{\left(x \right)} \tan^{2}{\left(x \right)}}{\cos{\left(3 x \right)} + 3}\right)\, dx$$$.


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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