Could I please have some help with this question

Rory has been challenged by Maggie with a fiendish integral; 1= f(z) da, where f(z ) = 10eor sech (6z) for r E (-5, 5). 25 + 22 To get an idea of what to do, Rory tries Maple to see what the answer is, but it is a bit unhelpful: > f := x -> 10*exp (6*x) *sech (6*x) / (25+x^2) : integrate (f (x) , *=-5. .5) ; 10 e6 sech(6 x) dx 12 + 25 > evalf ($) ; 3.141592654 This holds even when 6 in the integrand is replaced with any other real number Rory tries. For example, replacing 6 with 163 gives the following outputs: > h := x -> 10*exp (163*x) *sech (163*x) / (25+x^2) : integrate (h (x) , x=-5. .5) ; 10 e 163 T sech(163 2) dx x2 + 25 > evalf ($) ; 3.141592654 In fact, no matter what software they use, Rory finds that the corresponding integral is approximately 7. Maggie suggests that f has some special property that Rory can use. (a) First, give a short proof that the function f is neither odd nor even. Essay box advice: For mathematical expressions, you can use either the equation editor or approximate Maple syntax. Your answer doesn't need accurate Maple syntax, it just needs to be clear to the marker. uoneHB