Persiapan Universitas

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)   \(\displaystyle \int_{a + 1}^{a + 2} \left[ (x - a)^2 + (x - a) - 2 \right] \: dx\)