- #1

NickTesla

- 29

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doubt in this fraction in here

someone could make another example ,with fraction ! Thank you!

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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.

- #1

NickTesla

- 29

- 3

doubt in this fraction in here

someone could make another example ,with fraction ! Thank you!

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- #2

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- #3

jim mcnamara

Mentor

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You have a mathjax typo @fresh_42 ...

- #4

- #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

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No, I left out the ##u-##term. With it, it readsNickTesla 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 ??

##-\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!

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.

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.

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.

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.

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.

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