Odd & Even Function

Illustration Based Upon odd || Even Function

Illustration based upon odd || Even function

Definite Integration Of Odd And Even Functions

Properties of odd and even function

Categorize the following functions as odd/even/neither odd nor even functions. Justify your answer : (a)f(x)=x^(3)

Use the idea of odd and even function to evaluate int_(-1)^1 x(1-x^2) dx

Let f(x)=e^(e^(|x|sgnx))a n dg(x)=e^(e^(|x|sgnx)),x in R , where { } and [ ] denote the fractional and integral part functions, respectively. Also, h(x)=log(f(x))+log(g(x))dot Then for real x , h(x) is (a)an odd function (b)an even function (c)neither an odd nor an even function (d)both odd and even function

Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. if both the statements are true and statement 2 is the correct explanation of statement 1. If both the statements are true but statement 2 is not the correct explanation of statement 1. If statement is True and statement2 is false. If statement1 is false and statement2 is true. Statement 1: f(x)=(log)_ex cannot be expressed as the sum of odd and even function. Statement 2 : f(x)=(log)_e x in neither odd nor even function.

Show that any function can be expressed as the sum of an odd function and even function

Let f(x) be real valued and differentiable function on R such that f(x+y)=(f(x)+f(y))/(1-f(x)*f(y))f(x) is Odd function Even function Odd and even function simultaneously Neither even nor odd