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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1
If ∫sec⁡4/3xcosec⁡8/3x dx=a(tan⁡x)−5/3+b(tan⁡x)1/3+C,\int \sec ^{4 / 3} x \operatorname{cosec}^{8 / 3} x \,d x=a(\tan x)^{-5 / 3}+b(\tan x)^{1 / 3}+C, then 5a+b=5 a+b=
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Correct option: C
0
Option C is correct because after simplifying and integrating, we find that 5a+b=05a + b = 0.

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