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Question Number 206490 by Simurdiera last updated on 16/Apr/24

$$Resuelvelasiguienteintegral$$$$\int \frac{\cos \left(t\right)}{\sqrt[4]{{\sin }^7\left(t\right)\cdot {\cos }^5\left(t\right)}}dt$$

Answered by Frix last updated on 16/Apr/24

$$t=\tan x$$$$\Rightarrow$$$$\int t^{-\frac{7}{4}}dt=-\frac{4}{3}{t}^{-\frac{3}{4}}=-\frac{4}{3\sqrt[4]{{\tan }^{3}x}}+C$$

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