Project ForgeEngineering Mathematics
Calculus
GATE 2010
Easy
The value of the integral ∫ dx/(1+x²), with limits from -∞ to +∞, is
- A-π
- B-π/2
- Cπ/2
- π
Explanation
∫dx/(1+x²)=tan⁻¹x. Evaluating from -∞ to ∞: tan⁻¹(∞)-tan⁻¹(-∞)=π/2-(-π/2)=π.
Source: GATE ME 2010 (2010)
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