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UP TGT Mathematics Integration Test Series - Part 1

The area of the region bounded by two curves y = f(x) and y = g(x) from x = a to x = b (where f(x) ≥ g(x)) is:

Type: MCQ • Marks: 1
The area of the region bounded by two curves y = f(x) and y = g(x) from x = a to x = b (where f(x) ≥ g(x)) is:
Options
A. ∫ₐᵇ [f(x) + g(x)] dx
B. ∫ₐᵇ [f(x) - g(x)] dx
C. ∫ₐᵇ f(x) g(x) dx
D. π ∫ₐᵇ (f² - g²) dx
Explanation
Area between curves is ∫ₐᵇ [upper curve - lower curve] dx.
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