# Integration: (3x^2+5x+1)^3(6x+5) - Should I Use Table Method?

• naspek
In summary, the table method can be used to solve complex integration problems by breaking down the expression into smaller parts and evaluating each part separately. This method may not be the most efficient for simple problems or expressions with a large number of terms. It is best used for functions that can be broken down into smaller parts, such as polynomials or expressions with exponentials. However, there may be other integration techniques that are more suitable for certain types of functions.
naspek
how to integrate ((3x^2)+5x+1)^3 (6x + 5) ?
should i use table method?

Your integrand is of the form f'(g(x))*g'(x) (' denotes a derivative). How can you use that?

Try a u substitution.

got it! thanks guys! =)

## 1. How do I solve the expression (3x^2+5x+1)^3(6x+5) using the table method?

To solve this expression using the table method, you will need to create a table with columns for each term in the expression. Then, fill in the values for x and evaluate each term separately. Finally, multiply the values in each row to get the final result.

## 2. What are the benefits of using the table method for integration?

The table method can be helpful for solving complex integration problems, as it allows you to break down the expression into smaller parts and evaluate each part separately. This can make the overall process easier and more manageable.

## 3. Are there any limitations to using the table method for integration?

The table method may not be the most efficient method for solving simple integration problems. It may also become tedious and time-consuming for expressions with a large number of terms.

## 4. How do I know when to use the table method for integration?

You can use the table method for integration when the expression can be broken down into smaller parts, and when it is beneficial to evaluate each part separately. It is also a good method to use when working with polynomials or expressions with exponentials.

## 5. Can I use the table method for integration for any type of function?

Yes, you can use the table method for integration for any type of function as long as it can be broken down into smaller parts. However, it may not always be the most efficient method, and there may be other integration techniques that are more suitable for certain types of functions.

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