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2016
Mathematics
JAMB
Integrate (2x
3
+2x)/x with respect to x
A.
2x
3
/3 - 2x + k
B.
x
3
+ 2x + k
C.
2x
3
/3 + 2x + k
D.
x
3
- 2x + k
Correct Answer:
2x
3
/3 + 2x + k
Explanation
∫ (2x
3
+2x)/x = ∫2x
3
/x + 2x/x = ∫ (2x
3
+ 2)dx (2x
2
+1)/(2+1) + 2x + k = 2x
3
/3+ 2x + k
∫ (2x
3
+2x)/x = ∫2x
3
/x + 2x/x = ∫ (2x
3
+ 2)dx (2x
2
+1)/(2+1) + 2x + k = 2x
3
/3+ 2x + k
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