The value of $$\int \frac{x e^x d x}{(1+x)^2}$$ is equal to

The value of $$\int e^x\left[\frac{1+\sin x}{1+\cos x}\right] d x$$ is equal to

The value of $$\int \frac{1+x^4}{1+x^6} d x$$ is

The value of $$\int e^{\sin x} \sin 2 x d x$$ is