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Test: Theorems of Integral Calculus- 1 - Question 1

As x is increased from – ∞ to ∞ , the function

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Test: Theorems of Integral Calculus- 1 - Question 7

Which of the following functions is not differentiable in the domain [-1,1]?

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Test: Theorems of Integral Calculus- 1 - Question 10

What should be the value of λ such that the function defined below is continuous at x = π/2?

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Test: Theorems of Integral Calculus- 1 - Question 12

Consider the function f(x) = |x|^{3}, where x is real. Then the function f(x) at x = 0 is

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Test: Theorems of Integral Calculus- 1 - Question 13

The expression e^{–ln x} for x > 0 is equal to

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Test: Theorems of Integral Calculus- 1 - Question 14

Consider the following two statements about the function f(x) = |x|

P: f(x) is continuous for all real values of x

Q: f(x) is differentiable for all real values of x

Which of the f oll owi ng is TRU E?

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Test: Theorems of Integral Calculus- 1 - Question 17

Which one of the following function is strictly bounded?

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Test: Theorems of Integral Calculus- 1 - Question 19

Which of the following integrals is unbounded?

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Test: Theorems of Integral Calculus- 1 - Question 20

What is the value of the definite integral,

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