If _ o ^ a d x 1+4 x² = 8 , then a=

Step-by-step solution

We have ₀^ a d x 1+4 x² = 8 8 = 1 4 ₀^ a d x²+ ( 1 2 )² 2 = 1 4 1 ( 1 2 ) [ ⁻¹ x ( 1 2 ) ]₀^ a = 1 2 [ ⁻¹ 2 a- ⁻¹ 0 ] 8 = 1 2 ⁻¹ 2 a 4 = ⁻¹ 2 a 2 a= 4 =1 a= 1 2