If `int x^(5)e^(-x^(2))dx = g(x)e^(-x^(2))+C`, where C is a constant of integration, then g(-1) is equal to

int ((x ^(2) -x+1)/(x ^(2) +1)) e ^(cot^(-1) (x))dx =f (x) .e ^(cot ^(-1)(x)) +C where C is constant of integration. Then f (x) is equal to:

int ((x ^(2) -x+1)/(x ^(2) +1)) e ^(cot^(-1) (x))dx =f (x) .e ^(cot ^(-1)(x)) +C where C is constant of integration. Then f (x) is equal to:

If int e^(x)((3-x^(2))/(1-2x+x^(2)))dx=e^(x)f(x)+c , (where c is constant of integration) then f(x) is equal to

if int xe^(2x) dx = e^(2x).f(x)+c , where c is the constant of integration, then f(x) is

If int(x)/(x+1+e^(x))dx=px+qln|x+1+e^(x)|+c , where c is the constant of integration, then p+q is equal to

If int(x)/(x+1+e^(x))dx=px+qln|x+1+e^(x)|+c , where c is the constant of integration, then p+q is equal to

If intxe^(2x)dx is equal to e^(2x)f(x)+c , where c is constant of integration, then f(x) is

If intxe^(2x)dx is equal to e^(2x)f(x)+c , where c is constant of integration, then f(x) is

If int(2e^(x) +3e^(-x))/(4e^(x)+7e^(-x))dx=(1)/(14)(ux+v log_(e ) (4e^(x)+7e^(-x)))+C , where C is a constant of integration, then u+v is equal to ________.