Pls tell me the answer Q8 ∫-4afx dx - Maths - Integrals

Question

Pls tell me the answer

Q8 ∫ - 4 a f x   d x
= 0 ,   i f   f x   is   an   odd  
function ,   i e   f - x = - f x 2 ∫ 0 4 f x d x
  i f   f x   is   an   even  
function , i e   f   - x = f x

Brijendra Pal · Accepted Answer

Dear Arnapurna
Paikaray ,
As mentioned earlier , equation after "Evaluate" is jumbled up so
you need to attach the correct question so that we may provide
answer

Pls tell me the answer Q8. ∫ - 4 a f x d x = 0 , i f f x is an odd function , i . e . f - x = - f x 2 ∫ 0 4 f x d x . i f f x is an even function , i . e . f - x = f x

Pls tell me the answer

Q8. $\int_{- 4}^{a} f (x) d x$
= $\{\begin{matrix} 0, i f f (x) is an odd function, i . e . f (- x) = - f (x) \\ 2 \int_{0}^{4} f (x) d x . i f f (x) is an even function, \\ i . e . f (- x) = f (x) \end{matrix}$