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∫π6π3csc⁡3(x)dx\int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\csc^3\left(x\right)dx

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Final answer to the exercise

12⋅(−cot⁡(π3)csc⁡(π3)−−cot⁡(π6)csc⁡(π6)+ln⁡∣2+cot⁡(π6)∣−ln⁡∣csc⁡(π3)+cot⁡(π3)∣)\frac{1}{2}\cdot \left(-\cot\left(\frac{\pi }{3}\right)\csc\left(\frac{\pi }{3}\right)- -\cot\left(\frac{\pi }{6}\right)\csc\left(\frac{\pi }{6}\right)+\ln\left|2+\cot\left(\frac{\pi }{6}\right)\right|-\ln\left|\csc\left(\frac{\pi }{3}\right)+\cot\left(\frac{\pi }{3}\right)\right|\right)

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∫π6 π3 csc3(x)dx
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