Express the limit limE (7(;)* – 5(x; )*)Aæ; - i=1 over [4, 6| as an integral. Provide a, b and f(x) in the expression | {(x)dx. a ,b = f(x) = а — ||

Q: Show that limit t  appraoaches infinity  integral -t  to t  x dx =0

A: To prove:

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A: Find out the correct statement.

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Q: 4 1 : Evaluate the following improper integral by using proper limit notations: dx. (4 – x)2/3

A: As per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

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A: Concept:

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Q: I don't understant this hw problem

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A: ∫e2ln(x2+1)dx

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A: Answer

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A: we will apply the integration by parts rule: ∫(u·v) dx=u∫v dx−∫u'∫v dxdx And we also use…

Q: 12.)Express lim E(3(x;,)² – 5x, + 2)Ax as a definite integral on the interval [0,1]. i=1

A: The given expression is: limn→∞ ∑i=1n 3xi2-5xi+2∆x    on interval [0, 1]   The definite integral  on…

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A: by limit convergence test we cab prove this, we have to treat the definite integral as summation…

Q: 3. Suppose that f and g are integrable and that f(x) dx = -1; , f(x) dx = 5; and f, h(x) dx ='4,…

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Q: 3. Use the IVT to prove that y = x ln x has at least one zero on 2'2

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Q: | 45. Apply integration to the expansion 00 =E(-1)"x" = 1- x+x – x +.. 1+x n=0 to prove that for -1…

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Q: Since f(x) =1/x is continuous on (0, 1), f(x) is integrable on (0,1).

A: This is a false statement.

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Q: 9. In evaluating the improper integral dx , which of the following is true? (1– 3x)2 3 (A lim 3x 1…

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Q: 1 uate the improper integral dx. x(In x)3

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A: We have to find the value of E.

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A: Here given function as fx=c where the function fx is defined on the interval a, b.

Q: Set up the iterated double integral 9-9x SS dy dx of x 1. the limits . the limits of y

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Q: 9 In evaluating the improper integral , (1- 3x)2 dx ,which of the following is true? 3 A lim 3x B…

A: Given,

Q: 37. Evaluate the integral fи 4x³y dx + x* dy for any closed path C.

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