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SSC Pure Mathematics QUESTION #11157
Question 1
$\displaystyle\int_0^1 \frac{4}{1+x^2}\,dx =$
  • $0$
  • $\pi$✔️
  • $\dfrac{4\pi}{3}$
  • $-\pi$
Correct Answer Explanation
$\displaystyle\int_0^1 \frac{4}{1+x^2}\,dx = 4\left[\arctan x\right]_0^1 = 4\left(\frac{\pi}{4} - 0\right) = \pi$.