The option(s) with the values of a and L that satisfy the following equation is(are) _ 0…

Mathematics · JEE Advanced · NTA ExamsIntegral Calculus

The option(s) with the values of a and L that satisfy the following equation is(are)
\[\frac{\int_{0}^{4 \pi} e^{t}\left(\sin ^{6} a t+\cos ^{4} a t\right) d t}{\int_{0}^{\pi} e^{t}\left(\sin ^{6} a t+\cos ^{4} a t\right) d t}=L\]

Answer

(A)

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