Let I_ n = _ 0 ^ / 4 ^ n x d x then 1 I_ 2 +I_ 4 , 1 I_ 3 +I_ 5 , 1 I_ 4 +I_ 6 , are in
Mathematics · JEE Main · NTA Exams — Integral Calculus
Let \(I_{n}=\int_{0}^{\pi / 4} \tan ^{n} x d x\)
then \(\frac{1}{I_{2}+I_{4}}, \frac{1}{I_{3}+I_{5}}, \frac{1}{I_{4}+I_{6}}, \ldots\) are in
then \(\frac{1}{I_{2}+I_{4}}, \frac{1}{I_{3}+I_{5}}, \frac{1}{I_{4}+I_{6}}, \ldots\) are in
- A.P.
- G.P.
- H.P.
- none
Answer
(A) A.P.
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