Definite Integration JEE Main | (α + β)² for Given Integral

JEE MAIN 2025

28-01-2025 SHIFT-1

Question

If $\int_{ - \frac{\pi }{2}}^{\frac{\pi }{2}} {\frac{{96{x^2}{{\cos }^2}x}}{{\left( {1 + {e^x}} \right)}}} {\rm{d}}x = \pi \left( {\alpha {\pi ^2} + \beta } \right),\alpha ,\beta \in $ , then ${(\alpha + \beta )^2}$ equals

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196

100

144

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Easy

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