The value of ( ₂⁸ 10-x x + 10-x d x ) is

Step-by-step solution

Given that, ( I= ₂⁸ 10-x x + 10-x d x (1) ) We know that, ( _ a ^ b f(x) d x= _ a ^ b f(a+b-x) d x ) So, ( I= ₂⁸ x 10-x + x d x (2) ) Adding Eqs. (1) and (2), we get ( 2 I= ₂⁸ d x=[x]₂⁸ ) ( 2 I=6 I=3 )