passpadi

2006

Mathematics

JAMB

If dy/dx = x + cos x, find y

A.

x2 - sin x + c

B.

x2 + sin x + c

C.

x2/2 - sin x + c

D.

x2/2 + sin x + c

Correct Answer: x2/2 + sin x + c

Explanation

dy/dx = x + cos x y = ∫(x + cos x)dx y = 1/2x2 + sin x + C

dy/dx = x + cos x y = ∫(x + cos x)dx y = 1/2x2 + sin x + C
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