Question

Solving a definite integral a=3, b=4, (8+u^2)/u^3

Answer 1

\[\int\limits_{3}^{4} (8+u ^{2})/u ^{3}\]

Answer 2

Do you know the fundamental theorem of calculus?

Answer 3

Yes

Answer 4

Get it into a form you can anti-differentiate, then use the fundamental theorem.

Answer 5

So separate the 8 and the u^2, each with u^3 as the denominator. Then take the anitderivative?

Answer 6

You can't have a denominator. I would rewrite as \[(8+u^2)u^-3\]

Answer 7

anti-differentiate, use fundamental theorem.

Answer 8

Okay I did that, and I end up with -4u^(-2)+ln(u)

Answer 9

does that look right?

Answer 10

Looks right to me.