- #1
NickTesla
- 29
- 3
doubt in this fraction in here
someone could make another example ,with fraction ! Thank you!
How Do You Simplify 12/4 in an Indefinite Integral?
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In summary, the conversation discusses how to handle the fraction ##\frac{1}{12}\,\cdot\, \frac{1}{\frac{5}{4}} = \frac{\frac{1}{12}}{\frac{5}{4}}## and whether it is a composite or mixed fraction. The conversation also addresses a mathjax typo and clarifies the presence of a ##u-##term. The final summary explains the steps to simplify the fraction.
doubt in this fraction in here
someone could make another example ,with fraction ! Thank you!
- #2
- 19,509
- 25,496
Do you know how to handle ##\frac{1}{12}\,\cdot\, \frac{1}{\frac{5}{4}} = \frac{\frac{1}{12}}{\frac{5}{4}}##?
- #3
jim mcnamara
Mentor
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You have a mathjax typo @fresh_42 ...
- #4
- 19,509
- 25,496
Yeah, failed attempt to enlarge the numbers.jim mcnamara said:
Thanks, anyway!
- #5
NickTesla
- 29
- 3
fresh_42 said:
fresh 42 Thank you, is composite or Mixed
fraction ?? the account of this? u ^ 5/4, you wrote the same number 1 or u = 1 ?? I then replace u by 1 correct ??
- #6
- 19,509
- 25,496
No, I left out the ##u-##term. With it, it readsNickTesla said:
##-\frac{1}{12}\,\cdot \, \frac{u^{5/4}}{\frac{5}{4}} = -\frac{\frac{1}{12}}{\frac{5}{4}} \,\cdot \, u^{5/4} = -\frac{1}{12} \, \cdot \, \frac{4}{5} \,\cdot \, u^{5/4} = -\frac{1\,\cdot\,4}{12 \,\cdot\, 5}\,\cdot\, u^{5/4} =-\frac{4}{60}\,\cdot\, u^{5/4} = -\frac{1}{15}\,\cdot\, u^{5/4}##
Look at the fractions here and how they are divided!
- #7
NickTesla
- 29
- 3
Thank you, now easier!
FAQ: How Do You Simplify 12/4 in an Indefinite Integral?
What is an indefinite integral?
An indefinite integral is the reverse process of differentiation. It gives the function whose derivative is the original function. It is represented by the ∫ symbol and has no upper or lower limits.
How is an indefinite integral different from a definite integral?
A definite integral has upper and lower limits, while an indefinite integral does not. A definite integral gives a specific numerical value, while an indefinite integral gives a function.
What is the process for finding an indefinite integral?
To find an indefinite integral, you must use integration techniques such as substitution, integration by parts, or partial fractions. These techniques involve manipulating the function and applying rules of integration.
What is the relationship between derivatives and indefinite integrals?
The derivative of a function is the slope of the tangent line at a given point, while the indefinite integral gives the original function. This means that the derivative and indefinite integral are inverse operations of each other.
Why is it important to understand indefinite integrals?
Indefinite integrals are important in various fields of science, such as physics and engineering, as they are used to find the area under a curve and to solve differential equations. They also help in understanding the behavior of functions and their relationships with each other.