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Definite Integration question

2016 · 10 Apr · Shift 1 · Q38

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PYQ Library
JEE Main
Mathematics
Definite Integration
2016 · 10 Apr · Shift 1 · Q38

Definite Integration question

2016 · 10 Apr · Shift 1 · Q38

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

The value of the integral

\int\limits_4^{10} {{{\left[ {{x^2}} \right]dx} \over {\left[ {{x^2} - 28x + 196} \right] + \left[ {{x^2}} \right]}}} ,

where [x] denotes the greatest integer less than or equal to x, is :

A
6
B
3
C
7
D
${1 \over 3}$

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