- #1
musichael
- 10
- 0
I can't figure out how to this integral. I keep coming up with the wrong answer. Can someone please show me a detailed solution?
Integrating from 0 to 200 of 1/(14-(.0003x^2))
- Thread starter musichael
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- Integrating
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Homework Help Overview
The discussion revolves around the integration of the function 1/(14 - 0.0003x^2) over the interval from 0 to 200. Participants are exploring methods to solve this integral and are encountering difficulties in obtaining the correct answer.
Discussion Character
- Exploratory, Mathematical reasoning, Assumption checking
Approaches and Questions Raised
- Participants discuss various approaches, including the use of natural logarithms and derivatives, as well as trigonometric substitution and partial fractions. There are questions about the correctness of their methods and the ability to factor the denominator.
Discussion Status
Some participants have shared their attempts and expressed confusion about the integration process. Guidance has been offered regarding potential methods, but there is no explicit consensus on the correct approach or solution at this stage.
Contextual Notes
Participants are working within the constraints of a homework assignment, which may limit the resources or methods they can use. There is also uncertainty regarding the correct application of integration techniques and the handling of the integral's limits.
- #2
tiny-tim
Science Advisor
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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.
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
musichael
- 10
- 0
ok first i did ln(14-.0003x^2) divided by the derivative of the inside. but when i plug in the definite integral values i can't get the correct answer.
- #4
musichael
- 10
- 0
the answer should be 25.1
- #5
musichael
- 10
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I can't figure it out.
- #6
tiny-tim
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musichael said:
uhh?
d/dx(ln(14-.0003x^2)) = (.006 x)/ln(14-.0003x^2).
Try either a trigonometric substitution, or partial fractions.
- #7
musichael
- 10
- 0
the function that i need to integrate is 1/(14-.0003X^2) I am pretty sure you use the Ln(14-.0003X^2)/(2(.0003x) but It doesn't work with 0 to 200
- #8
musichael
- 10
- 0
I tried using partial fractions but I can't figure out how to factor the bottom expression
- #9
tiny-tim
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musichael said:
but the bottom is a - bx2
