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Application of Integration question

2010 · Shift 2 · Q34

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PYQ Library
JEE Advanced
Mathematics
Application of Integration
2010 · Shift 2 · Q34

Application of Integration question

2010 · Shift 2 · Q34

JEE AdvancedMathematicsApplication of IntegrationMCQ+4 / −1

Consider the polynomial

f\left( x \right) = 1 + 2x + 3{x^2} + 4{x^3}.

Let

s

be the sum of all distinct real roots of

f(x)

and let

t = \left| s \right|.

The area bounded by the curve

y=f(x)

and the lines

x=0,y=0

and

x=t,

lies in the interval

A
$\left( {{3 \over 4},3} \right)$
B
$\left( {{{21} \over {64}},{{11} \over {16}}} \right)$
C
$\left( {9,10} \right)$
D
$\left( {0,{{21} \over {64}}} \right)$

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