Is My Integration by Parts on \(\int \frac{1}{(x-1)(x+2)} \, dx\) Correct?

Thread starter X'S MOMMY
Start date Oct 5, 2008
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Calc 2 parts

In summary, integration by parts is a method used in calculus 2 to find the integral of a product of two functions. It involves breaking down the original integral into two parts and using the product rule to solve for the integral. It is typically used when the integral involves a product of functions where one function becomes simpler when differentiated and the other becomes simpler when integrated. The functions chosen for integration by parts are typically referred to as u and dv, and the formula for integration by parts is ∫ u dv = uv - ∫ v du. To solve integration by parts problems, it is helpful to choose u and dv carefully, use tabular integration for repetitive integrals, and try different combinations if the first choice does not work.

Oct 5, 2008

X'S MOMMY

Homework Statement

INTEGRAL 1/ (X-1)(X+2) DX

Homework Equations

I LET U = X+2 DU=X

The Attempt at a Solution

I GOT LN/(X+2)/+C I JUST DONT KNOW IF IM DOING IT RIGHT

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Oct 5, 2008

rocomath

Use partial fractions or find the formula for that integral.

[tex]\int\frac{dx}{(x+a)(x-b)}[/tex]

Related to Is My Integration by Parts on \(\int \frac{1}{(x-1)(x+2)} \, dx\) Correct?

1. What is integration by parts in calculus 2?

Integration by parts is a method used in calculus 2 to find the integral of a product of two functions. It involves breaking down the original integral into two parts and using the product rule to solve for the integral.

2. When should I use integration by parts?

Integration by parts is typically used when the integral involves a product of functions where one function becomes simpler when differentiated and the other becomes simpler when integrated.

3. How do I choose the functions for integration by parts?

The functions chosen for integration by parts are typically referred to as u and dv. The u function should be chosen based on which function becomes simpler when differentiated, while the dv function should be chosen based on which function becomes simpler when integrated.

4. What is the formula for integration by parts?

The formula for integration by parts is ∫ u dv = uv - ∫ v du, where u and v are the chosen functions and du and dv are their respective differentials.

5. Are there any tips for solving integration by parts problems?

Yes, there are a few tips that can make solving integration by parts problems easier. These include choosing u and dv carefully, using tabular integration for repetitive integrals, and trying different combinations of u and dv if the first choice does not work.