- #1
maniaku
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∫ (cos (1/x) / x^2 dx (Please show steps.)
Integrate ∫ cos(1/x)/x^2 dx: Steps & Solutions
- Thread starter maniaku
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SUMMARY
The integral ∫ (cos(1/x) / x^2) dx can be approached using the method of substitution. Participants in the discussion emphasized the importance of identifying an appropriate substitution to simplify the integral, particularly focusing on finding a suitable expression for du. The conversation highlights the collaborative nature of problem-solving in calculus, encouraging users to share their steps for better guidance.
PREREQUISITES- Understanding of integral calculus
- Familiarity with substitution methods in integration
- Knowledge of trigonometric functions, specifically cosine
- Ability to manipulate algebraic expressions
- Research substitution techniques in integral calculus
- Study the properties of trigonometric integrals
- Explore examples of integrals involving cos(1/x)
- Practice solving integrals with varying degrees of complexity
Students and educators in mathematics, particularly those focusing on calculus, as well as anyone seeking to improve their skills in solving integrals using substitution methods.
- #2
berkeman
Admin
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You show us *your* steps, and then we can offer tutorial help. We do not do your work for you here on the PF.
- #3
roam
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Welcome to the former People's Empire! 
[tex]\int \frac{cos \frac{1}{x}}{x^2} dx[/tex]
Why couldn't you try the method of substitution? Find an appropriate substitution, and then you need to find something that can serve as du or rather, something that can simplify the denominator.
I hope you enjoy yourself!
[tex]\int \frac{cos \frac{1}{x}}{x^2} dx[/tex]
Why couldn't you try the method of substitution? Find an appropriate substitution, and then you need to find something that can serve as du or rather, something that can simplify the denominator.
I hope you enjoy yourself!
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