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Integral of $$$\frac{\left(1 - \sin{\left(2 x \right)}\right) \sin{\left(x \right)} \cos{\left(x \right)}}{- \sin{\left(x \right)} + \cos{\left(x \right)}}$$$

The calculator will find the integral/antiderivative of $$$\frac{\left(1 - \sin{\left(2 x \right)}\right) \sin{\left(x \right)} \cos{\left(x \right)}}{- \sin{\left(x \right)} + \cos{\left(x \right)}}$$$, with steps shown.

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Find $$$\int \frac{\left(1 - \sin{\left(2 x \right)}\right) \sin{\left(x \right)} \cos{\left(x \right)}}{- \sin{\left(x \right)} + \cos{\left(x \right)}}\, dx$$$.


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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