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Use FTC2 to find the derivative

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Use FTC2 to find the derivative

asked Oct 28, 2023 45.9k views

9 votes

Use FTC2 to find the derivative

Use FTC2 to find the derivative-example-1

Mathematics
college

Martin Revert asked

by Martin Revert

7.8k points

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1 Answer

14 votes

Answer: 17/2 = 8.5

Ok done. Thank to me :>

Mabalenk answered Nov 2, 2023

8.4k points

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asked Oct 20, 2024 57.6k views

Evaluate the integral. π ∫ f(x) dx where f(x) = { 2 sin x if 0 < x < π/2 ⁰ = { 3 cos x if π/2 ≤ X ≤ π What is wrong with the equation? ₁ ₁ ∫ x⁻³ dx = x⁻²/-2] = - 4/9 ⁻³ ⁻³ a. There is nothing wrong with the equation. b. f(x) = x⁻³ is continuous on the interval [-3, 1] so FTC2 cannot be applied. c. The lower limit is less than 0, so FTC2 cannot be applied. d. f(x) = x⁻³ is not continuous on the interval [-3, 1] so FTC2 cannot be applied. e. f(x) = x⁻³ is not continuous at x = -3, so FTC2 cannot be applied.

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What is wrong with the equation ? ∫₋₃¹ x⁻³ dx = x⁻²/-1]₋₃¹ =-4/9 a. there is nothing wrong with the equation b. f(x) x⁻³ is continuous on the interval [-3,1] so FTC2 cannot be applied c. the lower limit

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