STATEMENT 1: The value of `int_0^(2pi)cos^(99)x dxi s0` STATEMENT 2: `int_0^(2a)f(x)dx=2int_0^af(x)dx ,iff(2a-x)=f(x)`

If int_(0)^(a) f(x) dx + int_(0)^(a) f(2a-x) dx =

The value of int_(0)^(1) x ( 1-x ) ^(99) dx is

If int_(0)^(2a) f (x) dx = 2 int_(0)^(a) f(x) then

STATEMENT 1: int_0^pisin^(100)xcos^(99)xdx is z ero . STATEMENT 2: int_a^bf(x)dx=int_(a+c)^(b+c)f(x-c)dx ,a n d for odd function, int_(-a)^af(x)dx=0