Integral Calculus: JEE Main 2026 Mathematics question

JEE Main 2026 · 5 Apr, Evening shift · Q18

JEE Main 20265 Apr, Evening shiftMathematicsEasyIntegral Calculus369× since 2002

Let

(2^{1-a}+2^{1+a})

f(a)

(3^a+3^{-a})

be in A.P. and

\alpha

be the minimum value of

f(a)

. Then the value of the integral

\int_{\log_e(\alpha-1)}^{\log_e(\alpha)}\frac{dx}{(e^{2x}-e^{-2x})}

is :

JEE Main 2026 · 5 Apr, Evening shift · Q18

JEE Main 20265 Apr, Evening shiftMathematicsEasyIntegral Calculus369× since 2002

Let

(2^{1-a}+2^{1+a})

f(a)

(3^a+3^{-a})

be in A.P. and

\alpha

be the minimum value of

f(a)

. Then the value of the integral

\int_{\log_e(\alpha-1)}^{\log_e(\alpha)}\frac{dx}{(e^{2x}-e^{-2x})}

is :

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