jee-main 2025 Q1

jee-main · India · session1_29jan_shift2 Indefinite & Definite Integrals Accumulation Function Analysis
Let $f ( x ) = \int _ { 0 } ^ { x } t \left( t ^ { 2 } - 9 t + 20 \right) d t , 1 \leq x \leq 5$. If the range of $f$ is $[ \alpha , \beta ]$, then $4 ( \alpha + \beta )$ equals:
(1) 253
(2) 154
(3) 125
(4) 157
Let $f ( x ) = \int _ { 0 } ^ { x } t \left( t ^ { 2 } - 9 t + 20 \right) d t , 1 \leq x \leq 5$. If the range of $f$ is $[ \alpha , \beta ]$, then $4 ( \alpha + \beta )$ equals:\\
(1) 253\\
(2) 154\\
(3) 125\\
(4) 157