If $I = \mathop \smallint \limits_{ - 2}^2 \,\,\left| {1 - {x^4}} \right|\,\,dx$, then ${\rm{\;I}}$ equals

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

I = \int \limits_{ - 2}^2 \,\,\left| {1 - {x^4}} \right|\,\,dx

, then

\mathrm{\;I}

equals

View answer and explanation

Correct option: C

\mathrm{12}

Option C (12) is correct because the integral of the absolute value function |1 - x⁴| from -2 to 2 is calculated by splitting the integral at the points where 1 - x⁴ changes sign.

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