Hey, hope you are all well this fine evening

I've been working on some homework problems for tomorrow, and I am absolutely stuck on two of them.

1) integral of (1+sinx) / (1-sinx)

For this one, I couldn't come up with any trig identities that would help. I thought about squaring the numerator and denominator but I have no idea if you can do that for integrals haha. Hopefully you guys would know hehe

2) integral of ((x^5)(e^(-x^3))

For this one, I tried integration by parts but ended up with a larger exponent somewhere down the road, so I figured I was just thinking about it incorrectly. And I can't do the tabular method because I can't integrate e^(-x^3)). My next guess was u-substitution but I'm just not seeing how to apply it.

The book says that these are all "elementary functions" so no series needed. I think I'm just dumb haha. Any help would be awesome. Thanks guys