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Integral of $$$\frac{\tan^{2}{\left(x \right)}}{x^{2} \left(\tan^{2}{\left(x \right)} + 5\right)}$$$

The calculator will find the integral/antiderivative of $$$\frac{\tan^{2}{\left(x \right)}}{x^{2} \left(\tan^{2}{\left(x \right)} + 5\right)}$$$, with steps shown.

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Find $$$\int \frac{\tan^{2}{\left(x \right)}}{x^{2} \left(\tan^{2}{\left(x \right)} + 5\right)}\, dx$$$.

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