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JAMB 2015 · UTME · Q33

Integrate 1x+cos⁡x\dfrac1x + \cos x with respect to xx.

Worked solution (try it first)
  1. 1x\frac1x integrates to ln⁡x\ln x, and cos⁡x\cos x integrates to sin⁡x\sin x.
  2. So the integral is ln⁡x+sin⁡x+k\ln x + \sin x + k, option B.

Also set as JAMB 1997 · UME · Q41

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