Evaluate ∫$$tan4$$⁡xdx

Correct option is 4tan3⁡x3−tan⁡x+x+C

Questions

$Evaluate \int \tan^{4} x d x$

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sec3⁡x3−tan⁡x+C

sec3⁡x3−tan⁡x+x+C

tan3⁡x3+tan⁡x+x+C

tan3⁡x3−tan⁡x+x+C

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detailed solution

Correct option is D

∫tan4⁡xdx=∫tan2⁡xtan2⁡xdx=∫tan2⁡xsec2⁡x−1dx∫tan2⁡xsec2⁡xdx−∫tan2⁡xdx=tan3⁡x3−∫sec2⁡x−1dx =tan3⁡x3−tan⁡x+x+C

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Evaluate ∫tan4⁡xdx

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$Evaluate \int \tan^{4} x d x$