JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Analyzing +4 | -1

f\left( x \right)

is defined

\left[ { - \,2,\;\,2} \right]\mathrm{\;}\,\,\mathrm{by\;}\,\,f\left( x \right) = 4{x^2} - \,\,3x + 1

and

g\left( x \right) = \frac{{f\left( { - x} \right)\,\, - \,\,f\left( x \right)}}{{{x^2} + \,\,3}}

,
then

\int \nolimits_{ - 2}^2 \,\,\mathrm{g}\,\,\left( x \right)dx

is equal to

View answer and explanation

Correct option: C

\mathrm{0}

The correct answer is C (0) because g(x) is an odd function, and the integral of an odd function over a symmetric interval is zero.

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