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Definite Integration question

2019 · 10 Jan · Shift 2 · Q23

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PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 10 Jan · Shift 2 · Q23

Definite Integration question

2019 · 10 Jan · Shift 2 · Q23

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

If

\int\limits_0^x \,

f(t) dt = x2 +

\int\limits_x^1 \,

t2f(t) dt then f '

\left( {{1 \over 2}} \right)

is -

A
${{18} \over {25}}$
B
${{6} \over {25}}$
C
${{24} \over {25}}$
D
${{4} \over {5}}$

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