Math Problem Statement
1/x(lnx)^2
Solution
To solve the integral , we can use substitution.
Step-by-Step Solution:
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Substitute .
Then, , so . -
Rewrite the integral:
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Integrate : The integral of is .
Therefore:
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Substitute back :
Final Answer:
Would you like any more details, or do you have any questions?
Here are 5 related questions to further your understanding:
- How would you solve ?
- What is the integral ?
- How would the solution change if the integrand were ?
- Can you evaluate using integration by parts?
- What happens if you try to integrate ?
Tip: Substitution is a powerful technique when you see a function and its derivative present in the integrand.
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Math Problem Analysis
Mathematical Concepts
Calculus
Integration
Substitution
Formulas
Integral substitution formula
Theorems
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Suitable Grade Level
College
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