Let l_ n = ^ n x d x,(n>1) . If l_ 4 +l_ 6 =a ^ 5 x+b x^ 5 +c , where C is a constant of…

Mathematics · JEE Main · NTA ExamsIntegral Calculus

Let \(l_{n}=\int \tan ^{n} x d x,(n>1)\). If \(l_{4}+l_{6}=a \tan ^{5} x+b x^{5}+c\), where C is a constant of integration, then the ordered pair (a, b) is equal to
  1. \(\left(\frac{1}{5}, 0\right)\)
  2. \(\left(\frac{1}{5},-1\right)\)
  3. \(\left(-\frac{1}{5}, 0\right)\)
  4. \(\left(-\frac{1}{5}, 1\right)\)

Answer

(A) ( 1 5 , 0 )

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