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Definite Integration question

2015 · Shift 1 · Q30

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PYQ Library
JEE Advanced
Mathematics
Definite Integration
2015 · Shift 1 · Q30

Definite Integration question

2015 · Shift 1 · Q30

JEE AdvancedMathematicsDefinite IntegrationNumerical+4 / −1

Let

f:R \to R

be a function defined by

f\left( x \right) = \left\{ {\begin{matrix} {\left[ x \right],} & {x \le 2} \\ {0,} & {x \gt 2} \\ \end{matrix} } \right.

where

\left[ x \right]

is the greatest integer less than or equal to

x

, if

I = \int\limits_{ - 1}^2 {{{xf\left( {{x^2}} \right)} \over {2 + f\left( {x + 1} \right)}}dx,}

then the value of

(4I-1)

is

Numerical answer

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