Indefinate integration problems

  • Thread starter JakePearson
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In summary, the conversation discusses the topic of indefinite integration problems and provides tips on how to approach them. The person asking for help is advised to try different techniques, such as substitution and using intuition, to solve the given integrals. The expert also encourages the person to try solving the problems on their own first before seeking help.
  • #1
JakePearson
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Indefinate integration problems!

find the following indefinate integrals?

d) ∫ 6x2 / sqrt(2x3 + 9)
e) ∫ x sqrt(1 - x2
f) ∫ 4 / (x + 2)(x + 3)

can you help me answer these please
 
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  • #2


You keep posting questions with absolutely no work or ideas. Please post what you've tried, what techniques do you know, what is causing the problem, etc. Review u-substitution in your book, and then post again if you are still stuck. I've seen multiple posts on homework type questions. Whether it's for a class or not, you aren't getting what you need to out of the exercises if you are posting nearly every question and not struggling through it yourself. I'm not trying to be difficult, but I'm trying to force you to try.

Try something! If it doesn't work, then why didn't it work? How can you modify it? These are techniques you have to learn so that you aren't reliant on others to complete your work.
 
  • #3


Substitution is a good method to try. Another thing that works well for anti derivatives is to try a function that you think may work, differentiate it, and see what you can add to it (constants, etc) to get the desired result. After doing this a while you'll build up your intuition.
 

What is indefinite integration?

Indefinite integration is the process of finding the most general antiderivative of a function. It is the reverse of differentiation and is used to solve integration problems.

How do you solve indefinite integration problems?

To solve indefinite integration problems, you need to use integration techniques such as substitution, integration by parts, or partial fractions. You also need to remember the basic integration rules and formulas.

What is the difference between indefinite integration and definite integration?

Indefinite integration involves finding the general antiderivative of a function, while definite integration involves finding the area under a curve between two specific points. Definite integration has a specific numerical value, while indefinite integration does not.

Why is it important to learn indefinite integration?

Indefinite integration is an essential tool in many fields of science and engineering, including physics, chemistry, and economics. It allows us to find solutions to differential equations and to calculate areas and volumes of irregular shapes.

What are some common mistakes to avoid when solving indefinite integration problems?

Some common mistakes to avoid when solving indefinite integration problems include forgetting to add the constant of integration, using incorrect substitution or integration techniques, and forgetting to apply the chain rule or product rule when necessary. It is also essential to double-check your work and simplify your final answer as much as possible.

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