- #1
Halen
- 13
- 0
how would you integrate (1+x^30)/(1+x^60) from 0 to 1?
tried so many ways but in vain..
any help?
tried so many ways but in vain..
any help?
How would you integrate (1+x^30)/(1+x^60)
- Thread starter Halen
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- Integrate
In summary, the purpose of integrating (1+x^30)/(1+x^60) is to find the antiderivative of the function in order to calculate the area under the curve. The process for integrating involves using techniques such as substitution, integration by parts, and partial fractions. The integral can be expressed in a simpler form by using partial fractions. The limits of integration depend on the specific problem or context. Real-world applications of this integration include calculating work in physics and profits in economics.
- #2
Nebuchadnezza
- 79
- 2
This is not the forum for posting course related problems.
Did you try to use the substitution t=x^30 ? This should simplify your integral quite a bit.
Then just do some smart algebra and factorisation.
EDIT: This is wrong. Sorry for the confusion
Last edited:
- #3
What is the purpose of integrating (1+x^30)/(1+x^60)?
The purpose of integration is to find the antiderivative of a function, which can then be used to calculate the area under the curve of the function. In this case, the function (1+x^30)/(1+x^60) is being integrated to find the antiderivative.
What is the process for integrating (1+x^30)/(1+x^60)?
The process for integrating a function involves using techniques such as substitution, integration by parts, and partial fractions. In this case, the function (1+x^30)/(1+x^60) can be integrated using partial fractions.
Can the integral of (1+x^30)/(1+x^60) be expressed in a simpler form?
Yes, the integral of (1+x^30)/(1+x^60) can be expressed in a simpler form by using partial fractions to rewrite the function. This will result in a more manageable and easier to solve integral.
What are the limits of integration for (1+x^30)/(1+x^60)?
The limits of integration depend on the specific problem or context in which the function (1+x^30)/(1+x^60) is being used. In general, the limits of integration are the values of x between which the area under the curve is being calculated.
What are some real-world applications of integrating (1+x^30)/(1+x^60)?
Integrating (1+x^30)/(1+x^60) can be used in various fields such as physics, engineering, and economics. For example, in physics, it can be used to calculate the work done by a variable force. In economics, it can be used to calculate the total profit from a variable production cost function.
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