The value of the integral $\mathop \smallint \limits_1^3 \,\,\sqrt {3\,\, + \,\,{x^3}} \,\,dx$ lies in the interval

$\begin{array}{*{20}{l}} {\left( {{\rm{1,}}\,\,{\rm{3}}} \right)} \end{array}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Analyzing +4 | -1

The value of the integral

\int \limits_1^3 \,\,\sqrt {3\,\, + \,\,{x^3}} \,\,dx

lies in the interval

View answer and explanation

Correct option: C

\left( {4,\,\,2\,\,\sqrt {300} } \right)

The correct answer is C (4, 2

\sqrt{30}

) because the integral is bounded by the minimum and maximum values of the integrand over the interval.

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