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

Mathematics
JAMB 2006
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
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Correct Answer: Option D
Explanation
dy/dx = x + cos x
y = ∫(x + cos x)dx
y = 1/2x2 + sin x + C

There is an explanation video available below.

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Explanation Video

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