JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

Let

f(x)=\int\limits_{x}^{x^2}(t-1) d t

. Then the value of

\left|f^{\prime}(\omega)\right|

where

\omega

is a complex cube root of unity is

View answer and explanation

Correct option: C

3 \sqrt{3}

Option C (

3 \sqrt{3}

) is correct because it is the absolute value of the derivative of the function evaluated at a complex cube root of unity.

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