If ∫ 0 a d x 4 + x 2 = π 8 , then the value of a =

Question

If &#8747; 0 a d x 4 + x 2 = &#960; 8 , then the value of a =

Aicharya · Accepted Answer

&#8747; 0 a d x 4 + x 2 = &#960; 8 &#8747; 0 a d x 2 2 + x 2 = &#960; 8 Use, &#8747; d x a 2 + x 2 = 1 a tan - 1 x a + c &#8658; 1 2 tan - 1 a 2 = &#960; 8 &#8658; tan - 1 a 2 = &#960; 4 &#8658; a 2 = tan &#960; 4 &#8658; a 2 = 1 &#8658; a = 2

If &#8747; 0 a d x 4 + x 2 = &#960; 8 , then the value of a =

Solution

If ∫ 0 a d x 4 + x 2 = π 8 , then the value of a =