[3] ^ n x ^ n+6 x d x, n ~N is equal to
Mathematics · JEE Main · NTA Exams — Integral Calculus
\(\int \sqrt[3]{\frac{\sin ^{n} x}{\cos ^{n+6} x}} d x, n \in \mathrm{~N} \text { is equal to }\)
- \(\frac{3}{n}(\tan x)^{\frac{n}{3}+1}+c\)
- \(\frac{3}{3+n}(\tan x)^{\frac{n}{3}+1}+c\)
- \(\frac{3}{n}(\cos x)^{n+1}+c\)
- none of these
Answer
(B) 3 3+n ( x)^ n 3 +1 +c
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