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Definite Integration question

2020 · 9 Jan · Shift 1 · Q39

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PYQ Library
JEE Main
Mathematics
Definite Integration
2020 · 9 Jan · Shift 1 · Q39

Definite Integration question

2020 · 9 Jan · Shift 1 · Q39

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If for all real triplets (a, b, c), ƒ(x) = a + bx + cx2; then

\int\limits_0^1 {f(x)dx}

is equal to :

A
${1 \over 6}\left\{ {f(0) + f(1) + 4f\left( {{1 \over 2}} \right)} \right\}$
B
$2\left\{ 3{f(1) + 2f\left( {{1 \over 2}} \right)} \right\}$
C
${1 \over 3}\left\{ {f(0) + f\left( {{1 \over 2}} \right)} \right\}$
D
${1 \over 2}\left\{ {f(1) + 3f\left( {{1 \over 2}} \right)} \right\}$

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