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SSC Applied Mathematics QUESTION #4168
Question 1
The exact value of $\int_1^3 \frac{1}{x^2} dx$ is:
  • $\frac{1}{3}$
  • $\frac{2}{3}$✔️
  • $\frac{1}{2}$
  • $1$
Correct Answer Explanation
$\int_1^3 x^{-2} dx = \left[-\frac{1}{x}\right]_1^3 = -\frac{1}{3} + 1 = \frac{2}{3}$.