I'm quite stucked at integrating functions

In summary, the speaker is new to the forum and is seeking help with integrating fractions in integral calculus. They provide two examples and mention being stuck. The responder reminds them of the integral formula for x^n and asks for more information on where they are stuck.
  • #1
khael14
1
0

Homework Statement


Hello, I'm new here and it seems that this place would be the right place to post, well, I'm just starting up with Integral Calculus, and I think I'm stucked up with integrating fractions like this one.
Integral of 3/t^4 dt from 1 to 2

2. Homework Equations

yeah I mention ot above, oh, one more example,
integral of x^2+1 all over sqt of x dx from 1 to 2

The Attempt at a Solution


I'm quite stucked up! :(

Thank you!
 
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  • #2
khael14 said:

Homework Statement


Hello, I'm new here and it seems that this place would be the right place to post, well, I'm just starting up with Integral Calculus, and I think I'm stucked up with integrating fractions like this one.
Integral of 3/t^4 dt from 1 to 2

2. Homework Equations

yeah I mention ot above, oh, one more example,
integral of x^2+1 all over sqt of x dx from 1 to 2

The Attempt at a Solution


I'm quite stucked up! :(

Thank you!

Hello khael14. Welcome to PF !

Here at Physics Forums, we like to see what you have tried, before we give you help. :smile:

What have you tried? --- or --- What do you understand about integration relative to differentiation?

Where are you stuck?
 
  • #3
Do you know the integral

[tex]\int x^n dx[/tex]

where n is an integer not equal to -1??
 

FAQ: I'm quite stucked at integrating functions

What is function integration?

Function integration is the process of finding the antiderivative of a given function. This essentially means finding the original function that, when differentiated, would result in the given function.

Why is integrating functions important?

Integrating functions is important because it allows us to solve a variety of problems in mathematics and science. It is particularly useful in finding areas under curves, volumes of irregular shapes, and solving differential equations.

What are the different techniques used for integrating functions?

There are several techniques for integrating functions, including substitution, integration by parts, trigonometric substitution, and partial fractions. Each technique is useful for different types of functions and can be applied in various situations.

How do I know which integration technique to use?

Choosing the right integration technique depends on the form of the function. It is important to first identify the type of function you are dealing with, and then choose the appropriate technique based on its properties. Practice and experience can also help in determining the best technique to use.

What are some tips for effectively integrating functions?

Here are a few tips for integrating functions: - Familiarize yourself with the basic integration rules and techniques - Simplify the function as much as possible before integrating - Substitute variables to make the integration process easier - Check your answer by differentiating it to ensure it is the correct antiderivative - Practice regularly to improve your skills and become more comfortable with the process.

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