Let p(x) be a function defined on R such that p'(x)=p'(1-x), for all x [ 0,1 ],p(0) = 1 and p(1)=41. Then ∫₀¹ p(x)dx equals:

Integral Calculus: JEE Main 2010 Mathematics question

JEE Main 2010 · Annual, Paper 1 · Q3347

JEE Main 2010Annual, Paper 1MathematicsMediumIntegral Calculus369× since 2002

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 :

JEE Main 2010 · Annual, Paper 1 · Q3347

JEE Main 2010Annual, Paper 1MathematicsMediumIntegral Calculus369× since 2002

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 :