Homework # 7 - Math 1150
The problems on this homework must be done alone. The honor code is in effect.
You may submit the solutions twice, if you wish.
First Name: Last Name:
Integrate
1. \( \int \frac{2}{x+3} dx\)
a. \(\arctan \mid x+3 \mid + c\)
b. \(\frac{1}{2} \ln (x^2 + 6x + 10) - 3\arctan\mid x+3\mid + c\)
c. \(\ln (x^2 + 6x + 10) - 5\arctan\mid x+3\mid + c\)
d. \(2\ln\mid x+3\mid + c\)
e. \(\frac{1}{2}\ln(x^2+6x+10)+c\)
2. \( \int \frac{1}{x^2+6x+10} dx\)
3. \( \int \frac{x+3}{x^2+6x+10} dx\)
4. \( \int \frac{x}{x^2+6x+10} dx\). (Hint: \(x = (x+3) - 3\) )
5. \( \int \frac{2x+1}{x^2+6x+10} dx\)