Exapnd it out and integrate term by term. Then, it's rather easy.
I am having trouble figuring out how to solve integrals that are rational, and also when square roots are involved. Please bear with me, I'm in an online class and I've discovered that I'm not very good at teaching myself
Evaluate the integral:
(s(s+1)^2 / sqrt(s))ds
what is the rule of thumb in approaching a situation like this? I've been trying to think backwards to see what would have to exist to end up with this as a derivative, but every time the product rule leaves me with a lot more than what is here.
Okay, that makes sense. That way all of the terms in the numerator have an "s" and then the denominator can go away.
But would the same idea apply in this example? Or is there another trick that can be used?
evaluate the integral:
3y / (2y^2 + 5)^1/2
I've tried to expand the denominator, but I don't see how I can get a "y" in all terms.
What is the process here? I would love to know how to make it as easy as the last one!