Integrate sec^2x tan^4x: Tan^5(x)/5

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The discussion revolves around finding the antiderivative of the function sec²(x)tan⁴(x). A participant suggests that the integral is tan⁵(x)/5. Another participant agrees with the guess but reminds to include the constant of integration. The conversation emphasizes the importance of correctly applying integration rules. Overall, the main focus is on confirming the antiderivative and ensuring completeness in the solution.
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hey everyone i need help with this antiderivative

\int\sec^{2}x\tan^{4}x

my guess is that it is tan^5(x)/5
 
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Good guess!
 
Don't forget the constant of integration. :smile:
 

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