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Mathematics · 2026

JEE Main · 24 January 2026, Shift 2 · Q25

If f(x) satisfies the relation f(x)=e^x+∫_0^1(y+x e^x) f(y) d y, then e+f(0) is equal to ____.

If $\displaystyle f(x)$ satisfies the relation $\displaystyle f(x)=e^x+\int_0^1\left(y+x e^x\right) f(y) d y$, then $\displaystyle e+f(0)$ is equal to $\displaystyle \_\_\_\_$.
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JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.