Search SchoolNGR

Wednesday, 04 March 2026
Register . Login

Integrate \(\frac{1 - x}{x^3}\) with respect to x

Integrate \(\frac{1 - x}{x^3}\) with respect to x
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A \(\frac{x - x^2}{x^4}\) + k
  • B \(\frac{4}{x^4} - \frac{3 + k}{x^3}\)
  • C \(\frac{1}{x} - \frac{1}{2x^2}\) + k
  • D \(\frac{1}{3x^2} - \frac{1}{2x}\) + k
Correct Answer: Option C
Explanation:
\(\int \frac{1 - x}{x^3}\)
= \(\int^{1}_{x^3} - \int^{x}_{x^3}\)
= x-3 dx - x-2dx
= \(\frac{1}{2x^2} + \frac{1}{x}\)

Share question on: