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Single Variable Calculus

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Moderate

Integral of Cosecant to the Fourth

SVCALC-JT6S5B

Evaluate the integral:

$$\int \csc^4 (5x) dx$$

A

$-\dfrac15\cot 5x - \dfrac{1}{15} \cot^3 5x + C$

B

$-\dfrac15\cot 5x - \dfrac{1}{15} \cot 15x + C$

C

$-\dfrac15\cot 5x + \dfrac{1}{5} \cot^3 5x + C$

D

$\dfrac15\cot 5x + \dfrac{1}{5} \cot^3 5x + C$