int x{f(x^(2))g(x^(2))-f'(x^(2))g(x^(2))}dx" is equal to "

If g(1)=g(2), then int_(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(x)dx is equal to

If g(1)=g(2), then int_(1)^(2)[f{g(x)}]^(-1)f'{g(x)}g'(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

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

If int(cos ec^(2)x)ln(cos x+sqrt(cos2x))dx=f(x)ln(cos x+sqrt(cos2x))+g(x)+f(x)-x+ then f^(2)(x)-g^(2)(x) is equal to

If (d)/(dx)f(x)=g(x), then int f(x)g(x)dx is equal to:

Let g (x) be then inverse of f (x) such that f '(x) =(1)/(1+ x ^(5)), then (d^(2) (g (x)))/(dx ^(2)) is equal to:

Let g (x) be then inverse of f (x) such that f '(x) =(1)/(1+ x ^(5)), then (d^(2) (g (x)))/(dx ^(2)) is equal to:

Let g (x) be then inverse of f (x) such that f '(x) =(1)/(1+ x ^(5)), then (d^(2) (g (x)))/(dx ^(2)) is equal to: