If `int e^(2x)(cos x+7sin x)dx=e^(2x)g(x)+c` where c is constant of integration then `g(0)+g((pi)/(2))=`

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

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

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 inte^(sinx)((xcos^(3)x-sinx)/(cos^(2)x))dx=e^(sinx)f(x)+c , where c is constant of integration, then f(x)=

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

If the integral I=inte^(sinx)(cosx.x^(2)+2x)dx=e^(f(x))g(x)+C (where, C is the constant of integration), then the number of solution(s) of f(x)=g(x) is/are

If int tan^(5)x dx =Atan^(4)x+Btan^(2)x+g(x)+C , where C is constant of integration and g(0)=0, then

int5^(x)((1+sin x*cos x*ln5)/(cos^(2)x))dx= ( where c is the constant of integration)

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