^ 4 x ^ 8 x d x is equal to

Mathematics · JEE Main · NTA ExamsIntegral Calculus

\(\int \frac{\sin ^{4} x}{\cos ^{8} x} d x \text { is equal to }\)
  1. \(\frac{\left(1+\tan ^{5} x\right)}{5}-\frac{\tan ^{7} x}{7}+c\)
  2. \(\frac{\tan ^{5} x}{5}+\frac{\tan ^{7} x}{7}+c\)
  3. \(\frac{\tan ^{5} x}{7}+\frac{\tan ^{7} x}{5}+c\)
  4. none of these

Answer

(B) ^ 5 x 5 + ^ 7 x 7 +c

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