$\mathop \smallint \nolimits_0^3 \,\,\left| {{x^3}\,\, + \,\,{x^2}\,\, + \,\,3x} \right|dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \nolimits_0^3 \,\,\left| {{x^3}\,\, + \,\,{x^2}\,\, + \,\,3x} \right|dx

is equal to

View answer and explanation

Correct option: B

\frac{{171}}{4}

Option B (

\frac{{171}}{4}

) is correct because the integrand is always non-negative in the interval [0, 3], so the absolute value can be dropped, and the resulting polynomial can be integrated directly.

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