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2017
Mathematics
JAMB
Find ∫(x
2
+ 3x − 5)dx
A.
x3/3 - 3x2/2 - 5x + k
B.
x3/3 - 3x2/2 + 5x + k
C.
x3/3 + 3x2/2 - 5x + k
D.
x3/3 + 3x2/2 + 5x + k
Correct Answer:
x3/3 + 3x2/2 - 5x + k
Explanation
∫x
n
dx = x
n+1
/n+1 ∫dx = x + k where k is constant ∫(x
2
+ 3x − 5)dx ∫x
2
dx + ∫3xdx − ∫5dx (2
2
+ 1)/(2 + 1) + 3x
1+1
/(1+1) − 5x + k x
3
/3 + 3x
2
/2 − 5x + k
∫x
n
dx = x
n+1
/n+1 ∫dx = x + k where k is constant ∫(x
2
+ 3x − 5)dx ∫x
2
dx + ∫3xdx − ∫5dx (2
2
+ 1)/(2 + 1) + 3x
1+1
/(1+1) − 5x + k x
3
/3 + 3x
2
/2 − 5x + k
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