∫(sec5(3x)tan5(3x))dx\int(sec^5(3x)tan^5(3x)) dx

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on Mar 30, 2025 at 9:30 pm



You asked:

Evaluate the integral: ∫sec⁡(3x)5tan⁡(3x)5dx\int{{\sec\left( 3 x \right)}^{5} {\tan\left( 3 x \right)}^{5}}dx

MathBot Answer:

Antiderivative

∫sec⁡(3x)5tan⁡(3x)5dx=−−35−63cos⁡4(3x)+90cos⁡2(3x)945cos⁡9(3x)+C\int{{\sec\left( 3 x \right)}^{5} {\tan\left( 3 x \right)}^{5}}dx = - \frac{-35 - 63 \cos^{4}{\left(3 x \right)} + 90 \cos^{2}{\left(3 x \right)}}{945 \cos^{9}{\left(3 x \right)}} + C

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