Soal 01

SIMAK UI 2016 International Matematika IPA

The area bounded by $y=-x^2+3x$ and $y=2$ is equal to ...

(A)   ${\displaystyle \frac{5}{6}}$

(B)   ${\displaystyle \frac{4}{6}}$

(C)   ${\displaystyle \frac{3}{6}}$

(D)   ${\displaystyle \frac{2}{6}}$

(E)   ${\displaystyle \frac{1}{6}}$

Soal 02

SIMAK UI 2015 Matematika IPA

Untuk $a>0$, luas daerah yang dibatasi oleh kurva $y=-(x-a{)}^2+2$, garis $y=x-a$ dan garis $x=a+2$ adalah ...

(A)   ${\displaystyle {\int }_{a-2}^{a+2}[-(x-a{)}^2-(x-a)+2]dx}$

(B)   ${\displaystyle {\int }_{a+1}^{a+2}[-(x-a{)}^2-(x-a)+2]dx}$

(C)   ${\displaystyle {\int }_{a-2}^{a+1}[-(x-a{)}^2-(x-a)+2]dx}$

(D)   ${\displaystyle {\int }_{a-2}^{a+1}[(x-a{)}^2+(x-a)-2]dx}$

(E)   ${\displaystyle {\int }_{a+1}^{a+2}[(x-a{)}^2+(x-a)-2]dx}$