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 :

Question

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 :

${1 \over 3}$

Solution

Please login to view the detailed solution steps...

Go to DASH