- #1

joseph_

- 2

- 0

## Homework Statement

I have a few questions, and I already have (some of) the right answers (or so I think.. but I don't understand them)

(Just finding the anti-derivative)

1. http://www.codecogs.com/eq.latex?\int_{}^{}\sin\left(8z-5\%20\right)

My answer: -cos (4z^2-5z) (not sure if I have to follow the chain rule in this or not?) If not I think this is right.

(Evaluation)

2. http://www.codecogs.com/eq.latex?\int_{1}^{0}3x^{2}+x-5

My answer: 3.5

When I evaluated this I had

-1 + -1/2 + 5

(Evaluation)

3. http://www.codecogs.com/eq.latex?\int_{-\sqrt[]{3}}^{\sqrt[]{3}}(t+1)(t^{2}+4)

My answer: 29.32

My anti-derivative: 1/4t^4 + 1/3t^3 + 2t^2 + 4t

(Evaluation)

4. http://www.codecogs.com/eq.latex?\int_{1/2}^{1}(1/u^{3}%20-%201/u^{4})

My answer: .833

Antiderivative: -1/2v^-2 - -1/3v^-3

Am I doing these right?