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Evaluate \(\int_0^{\frac{\pi}{2}}sin2xdx\)

Mathematics
JAMB 2005

Evaluate \(\int_0^{\frac{\pi}{2}}sin2xdx\)

  • A. 1
  • B. zero
  • C. -1/2
  • D. -1
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Correct Answer: Option A
Explanation

\(\int_0^{\frac{\pi}{2}}\)sin 2x dx = [-1/2cos 2x + C]\(_0^{\frac{\pi}{2}}\)
=[-1/2 cos 2 * π/2 + C] - [-1/2 cos 2 * 0]
= [-1/2 cos π] - [-1/2 cos 0]
= [-1/2x - 1] - [-1/2 * 1]
= 1/2 -(-1/2) = 1/2 + 1/2 = 1

There is an explanation video available below.


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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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