csat-suneung 2018 Q9

csat-suneung · South-Korea · csat__math-humanities 3 marks Indefinite & Definite Integrals Maximizing or Optimizing a Definite Integral
Find the positive value of $a$ that satisfies $\int _ { 0 } ^ { a } \left( 3 x ^ { 2 } - 4 \right) d x = 0$. [3 points]
(1) 2
(2) $\frac { 9 } { 4 }$
(3) $\frac { 5 } { 2 }$
(4) $\frac { 11 } { 4 }$
(5) 3
Find the positive value of $a$ that satisfies $\int _ { 0 } ^ { a } \left( 3 x ^ { 2 } - 4 \right) d x = 0$. [3 points]\\
(1) 2\\
(2) $\frac { 9 } { 4 }$\\
(3) $\frac { 5 } { 2 }$\\
(4) $\frac { 11 } { 4 }$\\
(5) 3