Integrating from 0 to 200 of 1/(14-(.0003x^2))

1. Jan 29, 2009

musichael

I cant figure out how to this integral. I keep coming up with the wrong answer. Can someone please show me a detailed solution?

2. Jan 29, 2009

tiny-tim

Welcome to PF!

Hi musichael! Welcome to PF!

Show us what you've tried, and where you're stuck, and then we'll know how to help.

3. Jan 29, 2009

musichael

ok first i did ln(14-.0003x^2) divided by the derivative of the inside. but when i plug in the definate integral values i cant get the correct answer.

4. Jan 29, 2009

musichael

5. Jan 29, 2009

musichael

I cant figure it out.

6. Jan 29, 2009

tiny-tim

uhh?

d/dx(ln(14-.0003x^2)) = (.006 x)/ln(14-.0003x^2).

Try either a trigonometric substitution, or partial fractions.

7. Jan 29, 2009

musichael

the function that i need to integrate is 1/(14-.0003X^2) Im pretty sure you use the Ln(14-.0003X^2)/(2(.0003x) but It doesnt work with 0 to 200

8. Jan 29, 2009

musichael

I tried using partial fractions but I cant figure out how to factor the bottom expression

9. Jan 30, 2009

tiny-tim

but the bottom is a - bx2