JEE Main 2024 Mathematics question
Let , where g is a continuous odd function. If , then α is equal to .
Answer: 2
Solution
g is odd and ln((1 − t)/(1 + t)) is odd, so the integrand g(t)ln(…) is even and f(x) is odd. So ∫f(x)dx over a symmetric interval is 0. Using ∫_{−a}^{a}
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