int_(-a)^(a){f(x)-f(-x)}dx" is equal to "

Evaluation of definite integrals by subsitiution and properties of its : If f(a+b+1-x)=f(x)AAx where a and b are fixed positive real numbers, then (1)/(a+b)int_(a)^(b)x(f(x)+f(x+1)dx= is equal to

If f(a+b+1-x)=f(x) , for all x where a and b are fixed positive real numbers, the (1)/(a+b) int_(a)^(b) x(f(x)+f(x+1) dx is equal to :

If f(a+b+1-x)=f(x) , for all x where a and b are fixed positive real numbers, the (1)/(a+b) int_(a)^(b) x(f(x)+f(x+1) dx is equal to :

The tangent to the graph of the function y=f(x) at the point with abscissa x=a forms with the x-axis an angle of (pi)/(3) and at the point with abscissa x=b at an angle of (pi)/(4) then the value of the integral,int_(1)^(b)f'(x)*f''(x)dx is equal to

int_(a)^(b)f(x)dx is equal to-

If int g(x)dx = g(x) , then int g(x){f(x) - f'(x)}dx is equal to

If f(a+b-x)=f(x) , then int_(a)^(b) x f(x)dx is equal to -

If f(x)=f(a-x) then int_(0)^(a)xf(x)dx is equal to