If xφ (x) = ∫₅ˣ (3t² - 2φ '(t))dt, x > - 2, and φ (0) = 4, then φ (2) is _ _ _ _ _.

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 31 Aug, Morning shift · Q29

JEE Main 202131 Aug, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

x\phi (x) = \int\limits_5^x {(3{t^2} - 2\phi '(t))dt}

, x >

-

2, and

\phi

(0) = 4, then

\phi

(2) is __________.

Your answerType your answer. Integers and decimals are accepted.