If `G(x) =|(f(x)f(-x),0,x^4), (3,f(x)-f(-x),cos x), (x^4,2x,f(x)f(-x))|,` then `int_-2^2 x^4 G(x)\ dx` is equal to

If f((3x-4)/(3x+4))=x+2 , then int f(x)dx is equal to

If f((3x-4)/(3x+4))=x+2 , then int 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 g(x)=(f(x)-f(-x))/2 defined over [-3,3] f(x)=2x^(2)-4x+1 , then int_(-3)^(3)g(x)dx is equal to

If f(x)=(x-1)/(x+1),f^2(x)=f(f(x)),........,f^(k+1) (x)=f(f^k(x)),k=1,2,3,...g(x)=f^1998(x), then int_(1/e)^1 g(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(x) is defined on [2,2] by f(x) = 4x^2-3x+1 and g(x) = (f(-x)-f(x))/(x^2+3) then int_(-2)^2g(x) dx is equal to

If f (x) = cos x then int(2(f(x))^(2)-1)(4(f(x))^(3)-3 f (x)) dx is equal to

If f(x) is defined on [-2, 2] by f(x) = 4x^2 – 3x + 1 and g(x) = (f(-x)-f(x))/(x^2+3) then int_(-2)^2 g(x) dx is equal to