If In=∫¹ ₀dx/(1+x²)ⁿ;n∈N, then which of the following statements hold good?
A. 2nIₙ+1=2⁻ⁿ+(2ⁿ⁻¹)Iₙ
B. I₂=π/8+1/4
C. I₂=π/8−1/4
D. I₃=π/16−5/48