Definite Integrals
The property ∫₀ᵇ f(x) dx = -∫ᵇ₀ f(x) dx represents
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Solution
Reversal of limits
Definite integration possesses several fundamental properties:
- Reversal of Limits: When the upper and lower limits of integration are swapped, the integral's value is negated (multiplied by −1).
- ∫abf(x)dx=−∫baf(x)dx.
- Logic: This follows from the Fundamental Theorem of Calculus: F(b)−F(a)=−(F(a)−F(b)).
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About This Question
- Subject
- mathematics
- Chapter
- integral calculus
- Topic
- definite integrals
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Reversal of limits
Definite integration possesses several fundamental properties:
- Reversal of Limits: When the upper and lower limits of integration are swapped, the integral's value is negated (multiplied by −1).
- ∫abf(x)dx=−∫baf(x)dx.
- Logic: This follows from the Fundamental Theorem of Calculus: F(b)−F(a)=−(F(a)−F(b)).
This easy difficulty mathematics question is from the chapter integral calculus, covering the topic of definite integrals. It appeared in the 2025 exam.
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