The value of ( _ - / 4 ^ / 4 ¹⁰³ x ¹⁰¹ x ~d x ) is

Step-by-step solution

Given that _ - 4 ^ 4 ¹⁰³ x ¹⁰¹ x d x Let f(x)= ¹⁰³ x ¹⁰¹ x Then f(-x)= ¹⁰³(-x) ¹⁰¹(-x)=- ¹⁰³ x ¹⁰¹ x=-f(x) So, it is an odd function. Since, _ -a ^ a f(x) d x=0 Therefore _ - 4 ^ 4 ¹⁰³ x ¹⁰¹ x d x=0