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Definite Integration question

2010 · Shift 0 · Q34

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PYQ Library
JEE Main
Mathematics
Definite Integration
2010 · Shift 0 · Q34

Definite Integration question

2010 · Shift 0 · Q34

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let

p(x)

be a function defined on

R

such that

p'(x)=p'(1-x),

for all

x \in \left[ {0,1} \right],p\left( 0 \right) = 1

and

p(1)=41.

Then

\int\limits_0^1 {p\left( x \right)dx}

equals :

A
$21$
B
$41$
C
$42$
D
$\sqrt {41}$

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