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JAMB Mathematics 2016 Objective — Question 12

Question 12 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

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12. Evaluate ∫(cos4x + sin3x)dx A. sin4x - cos3x + k B. sin4x + cos3x + k C. ¼sin4x - ⅓cos3x + k D. ¼sin4x + ⅓cos3x + k

  • A. sin4x - cos3x + k
  • B. sin4x + cos3x + k
  • C. ¼sin4x - ⅓cos3x + kCorrect
  • D. ¼sin4x + ⅓cos3x + k

Explanation

∫(cos4x)dx + ∫(sin3x)dx = ¼sin4x + (-⅓cos3x) + k = ¼sin4x - ⅓cos3x + k.

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