Math Problem Statement
\int Ln(x) dx
Solution
To find the integral of , we can use integration by parts. The formula for integration by parts is:
For the integral , we can choose:
Now, we need to find and :
Using the integration by parts formula:
This simplifies to:
where is the constant of integration.
Would you like more details or have any questions?
Here are five related questions you might want to ask:
- How do you integrate ?
- What is the integral of ?
- How do you use integration by parts in other contexts?
- Can you explain the process of substitution in integration?
- What are some common applications of the natural logarithm function?
Tip: Integration by parts is particularly useful for integrals involving the natural logarithm, products of polynomials and exponentials, or products of trigonometric functions and exponentials.
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Math Problem Analysis
Mathematical Concepts
Calculus
Integration
Natural Logarithm
Formulas
Integration by parts
Theorems
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Suitable Grade Level
Undergraduate