passpadi

2016

Mathematics

JAMB

Integrate (2x3+2x)/x with respect to x

A.

2x3/3 - 2x + k

B.

x3 + 2x + k

C.

2x3/3 + 2x + k

D.

x3 - 2x + k

Correct Answer: 2x3/3 + 2x + k

Explanation

∫ (2x3+2x)/x = ∫2x3/x + 2x/x = ∫ (2x3 + 2)dx (2x2+1)/(2+1) + 2x + k = 2x3/3+ 2x + k

∫ (2x3+2x)/x = ∫2x3/x + 2x/x = ∫ (2x3 + 2)dx (2x2+1)/(2+1) + 2x + k = 2x3/3+ 2x + k
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