What is the integral of cos^3(x)tan^4(x)?

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SUMMARY

The integral of cos³(x)tan⁴(x) can be approached by rewriting it as cos³(x)[tan²(x)]². This transformation allows for the expansion of tan²(x), which simplifies the integration process. By utilizing trigonometric identities and integration techniques, the integral can be solved effectively. The discussion emphasizes the importance of re-expressing functions to facilitate integration.

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baher
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i spent a lot of time solving this question but i can't solve it
 
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cos³(x)tan⁴(x) = cos³(x)[tan²(x)]²

Think of a way to re-express tan²(x), expand & the rest should follow...
 

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