Mathematics · 2020
JEE Main · 9 January 2020, Shift 1 · Q51
If for all real triplets (a, b, c), f(x)= a + b x+ cx^2; then ∫_0^1 f(x) d x is equal to:
If for all real triplets (a, b, c), $\displaystyle f(x)=\mathrm{a}+\mathrm{b} x+\mathrm{cx}^2$; then $\displaystyle \int_0^1 f(x) \mathrm{d} x$ is equal to :
Official answer
(4)
$\displaystyle \frac{1}{6}\left\{f(0)+f(1)+4 f\left(\frac{1}{2}\right)\right\}$
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.