" If "int_(0)^(b-c)f(x+c)dx=k int_(b)^(c)f(x)dx" then "k=

int_(a)^(b)f(x)dx=int_(b)^(a)f(x)dx .

If int_(a)^(b)f(x)dx=int_(a)^(b)phi(x)dx , then-

If f(x)=f(a+b-x) for all x in[a,b] and int_(a)^(b) xf(x) dx=k int_(a)^(b) f(x) dx , then the value of k, is

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

If |int_(a)^(b)f(x)dx|=int_(a)^(b)|f(x)|dx,a

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

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

Let f(x) and g(x) be any two continuous function in the interval [0, b] and 'a' be any point between 0 and b. Which satisfy the following conditions : f(x)=f(a-x), g(x)+g(a-x)=3, f(a+b-x)=f(x) . Also int_(0)^(a)f(x)dx=int_(0)^(a)f(a-x)dx, int_(a)^(b)f(x)dx=int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx int_(0)^(a)f(x)dx=p" then " int_(0)^(a)f(x)g(x)dx is

Let int_(a)^(b)f(x)dx=int_(a+c)^(b+c)f(x-c)dx . Then the value of int_(0)^(pi)sin^(2010)x*cos^(2009)xdx is