Soal 01
SIMAK UI 2016 International Matematika IPA
The area bounded by \(y = -x^2 + 3x\) and \(y = 2\) is equal to ...
(A) \(\dfrac 56\)
(B) \(\dfrac 46\)
(C) \(\dfrac 36\)
(D) \(\dfrac 26\)
(E) \(\dfrac 16\)
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) \(\displaystyle \int_{a - 2}^{a + 2} \left[ -(x - a)^2 - (x - a) + 2 \right] \: dx\)
(B) \(\displaystyle \int_{a + 1}^{a + 2} \left[ -(x - a)^2 - (x - a) + 2 \right] \: dx\)
(C) \(\displaystyle \int_{a - 2}^{a + 1} \left[ -(x - a)^2 - (x - a) + 2 \right] \: dx\)
(D) \(\displaystyle \int_{a - 2}^{a + 1} \left[ (x - a)^2 + (x - a) - 2 \right] \: dx\)
(E) \(\displaystyle \int_{a + 1}^{a + 2} \left[ (x - a)^2 + (x - a) - 2 \right] \: dx\)