JAMB 2013 · UTME · Q39

Evaluate ∫0π/2sin⁡x dx\displaystyle\int_0^{\pi/2} \sin x\,dx.

Worked solution (try it first)
  1. sin⁡x\sin x integrates to −cos⁡x-\cos x.
  2. [−cos⁡x]0π/2=−cos⁡π2−(−cos⁡0)\left[-\cos x\right]_0^{\pi/2} = -\cos\frac\pi2 - (-\cos0)
    =0+1= 0 + 1
    =1= 1, option C.

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