The value of $\int_\limits 1^5(|x-3|+|1-x|) d x$ is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int\limits_{1}^5(|x-3|+|1-x|) d x

View answer and explanation

Correct option: D

Option D (12) is correct because the integral evaluates to 12 after splitting the integral based on the absolute value functions and integrating each part.

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