Areas Under Curves
The area under the curve y = x from x = 0 to x = 2 is
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About This Question
- Subject
- mathematics
- Chapter
- integral calculus
- Topic
- areas under curves
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
2 square units
- Area Formula: The area A is the integral ∫abydx.
- Setup Integral: ∫02xdx.
- Evaluate:
- [2x2]02=222−202
- =24=2.
- Geometric Check: This area represents a right-angled triangle with base 2 and height 2. Area =1/2×2×2=2.
This easy difficulty mathematics question is from the chapter integral calculus, covering the topic of areas under curves. It appeared in the 2025 exam.
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