Post-UTME Mathematics 2019 Objective — Question 31
Question 31 of 50 from the Post-UTME Screening (Post-UTME) Mathematics 2019 Objective paper, with the correct answer and a full explanation.
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Integrate (1-x)/x³ with respect to x
- A. x - x²/x⁴ + k
- B. 4/x⁴ - 3/x³ + k
- C. 1/x - 1/2x² + kCorrect
- D. 1/x - 1/x² + k
Explanation
∫(1/x³ - x/x³)dx = ∫(x⁻³-x⁻²)dx = -1/(2x²) + 1/x + k = 1/x - 1/(2x²) + k.
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