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JAMB Mathematics 2023 Objective — Question 6

Question 6 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2023 Objective paper, with the correct answer and a full explanation.

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Evaluate ∫(cos4x + sin3x)dx.

  • A. 1/4 sin4x + 1/3cos3x + k
  • B. 1/4 sin4x - 1/3cos3x + kCorrect
  • C. sin4x + cos3x + k
  • D. sin4x - cos3x + k

Explanation

∫cos4x dx = 1/4 sin4x; ∫sin3x dx = -1/3 cos3x. Sum = 1/4 sin4x - 1/3 cos3x + k.

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