`inte^(sinx+x^2)(cosx+2x)dx=?`

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

inte^(x)(1-sinx)/(1-cosx)dx=

int(cos^(2)x)/(1+sinx)dx+int(sin^(2)x)/(1-cosx)dx=

inte^(x)((1+sinx)/(1+cosx))dx=?

inte^(x)((1+sinx)/(1+cosx))dx=

inte^(x)(sinx+cosx)dx=?

int(sinx/(2+cosx))dx

int(x+sinx)/(1-cosx)dx=

int(x-sinx)/(1-cosx)dx

inte^(x)(sinx+cosx)/(cos^(2)x)dx=