`int_(a + c)^(b+c) f(x)dx=`

Show that: int_a^bf(x)dx=int_(a+c)^(b+c)f(x-c)dx and hence show that int_0^pi sin^100xcos^99xdx=0

STATEMENT 1:int_(0)^( pi)sin^(100)x cos^(99)xdx is z ero STATEMENT 2:int_(a)^(b)f(x)dx=int_(a+c)^(b+c)f(x-c)dx, and for odd function,int_(-a)^(a)f(x)dx=0

(1)/(c )int_(ac)^(bc)f((x)/(c ))dx=

If | int_(a)^(b) f(x)dx|= int_(a)^(b)|f(x)|dx,a ltb,"then " f(x)=0 has