Let f(x) = max |x + 1|, |x + 2|,....., |x + 5|. Then ∫₋₆⁰ f(x)dx is equal to _ _ _ _ _.

Integral Calculus: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jun, Morning shift · Q33

JEE Main 202226 Jun, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

Let f(x) = max {|x + 1|, |x + 2|, ....., |x + 5|}. Then

\int\limits_{ - 6}^0 {f(x)dx}

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 26 Jun, Morning shift · Q33

JEE Main 202226 Jun, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

Let f(x) = max {|x + 1|, |x + 2|, ....., |x + 5|}. Then

\int\limits_{ - 6}^0 {f(x)dx}

is equal to __________.

Your answerType your answer. Integers and decimals are accepted.