JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of the integral

\int\limits_{4}^{10} \frac{\left[x^2\right] d x}{\left[x^2-28 x+196\right]+\left[x^2\right]} \text {, where }[x]

denotes the greatest integer less than or equal to

\mathrm{x}

, is :

View answer and explanation

Correct option: D

Option D (3) is correct because the integral simplifies to 3 after using the property

\int_a^b f(x) dx = \int_a^b f(a+b-x) dx

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