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

If $$\int \frac{3 x+1}{(x-1)(x-2)(x-3)} d x A \log |x-1| B \log |x-2|+C \log |x-3|+C$$, then the values of $$A, B$$ and $$C$$ are respectively