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Questions and Answers
What is the process of finding the integral of a function called?
What is the process of finding the integral of a function called?
- Factorization
- Integration (correct)
- Differentiation
- Derivation
What is the result of an indefinite integral also known as?
What is the result of an indefinite integral also known as?
- Slope of the tangent line
- Area under the curve
- Definite integral
- Antiderivative (correct)
What does the definite integral represent?
What does the definite integral represent?
- Slope of the tangent line
- Value of a function at a specific point
- Area under the curve (correct)
- Maximum value of a function
Which rule allows for the integration of a product of two functions?
Which rule allows for the integration of a product of two functions?
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Qual es le resultato del integration indefinite de 1/x?
Qual es le resultato del integration indefinite de 1/x?
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Qual es le integral definite de sin(x) de 0 a π?
Qual es le integral definite de sin(x) de 0 a π?
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Qual es le integral definite de tan(x) de π/4 a π/2?
Qual es le integral definite de tan(x) de π/4 a π/2?
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Qual es le integral definite de sec(x) de 0 a π/2?
Qual es le integral definite de sec(x) de 0 a π/2?
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Study Notes
Integration
- The process of finding the integral of a function is called integration.
- The result of an indefinite integral is also known as the antiderivative.
Definite Integral
- The definite integral represents the area between the graph of a function and the x-axis over a specific interval.
Integration Rules
- The product rule allows for the integration of a product of two functions.
Integration of Specific Functions
- The result of the indefinite integral of 1/x is the natural logarithm.
- The definite integral of sin(x) from 0 to π is 2.
- The definite integral of tan(x) from π/4 to π/2 is 1.
- The definite integral of sec(x) from 0 to π/2 is 1.
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