Question

Integrate 1/(1+x2) for limit [0,1].

Answer 1

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I=∫₀¹ $\frac{1}{1+x^{2} } .dx$

 

=[tan⁻¹ x] ₀¹

 

=[tan⁻¹1 − tan⁻¹0]

 

=[π/4 − 0]

 

= π/4

 

∫₀¹ $\frac{1}{1+x^{2} } .dx$  = π /4

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Answer 2

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