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Integral of $$$20 \pi \sin{\left(x \right)} \sin{\left(4 \pi x \right)} \sin{\left(12 \pi x \right)} \cos{\left(x \right)}$$$

The calculator will find the integral/antiderivative of $$$20 \pi \sin{\left(x \right)} \sin{\left(4 \pi x \right)} \sin{\left(12 \pi x \right)} \cos{\left(x \right)}$$$, with steps shown.

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Find $$$\int 20 \pi \sin{\left(x \right)} \sin{\left(4 \pi x \right)} \sin{\left(12 \pi x \right)} \cos{\left(x \right)}\, dx$$$.


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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