Express the limit as a definite integral on the given interval. x;* -Ax, (x;')² + 2 lim n- co [1, 6] xp

Q: 6x dx D.

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Q: Express the limit as a definite integral on the given interval. n lim X; In(2 + x;) Ax, [0, 4] i = 1…

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Q: Evaluate the definite integral by the limit definition. (x² + 2) dx

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Q: Express the limit as a definite integral on the given interval. lim > x; In(2 + x;2) Ax, [2, 5] n-…

A: The solution is given below

Q: Evaluate the definite integral by the limit definition

A: Here,

Q: Express the limit as a definite integral on the given interval. im. (4(x;") - 3x;JAx, [2, 7] i = 1 7…

A: By limit definition of a definite integral, limn→∞∑i=1nfxi*∆x=∫ab f(x)dx  where ∆x=b-an and…

Q: Express the limit as a definite integral on the given interval. [9(x†)3 – 4xj]Ax, [2,9] lim n- 00 i…

A: Express the limit as a definite integral on the given interval.

Q: Express the limit as a definite integral on the given interval. in lim [5(x,")3 – 2x,*]Ax, [2, 7] i…

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Q: Express the limit as a definite integral on the given interval. [4(x;")3 – 4x;1Ax, [2, 7] lim i = 1…

A: Solve the following

Q: Express the limit as a definite integral on the given interval. n eši -Ax 4 + X; lim [0, 2] i = 1

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Q: Express the limit as a definite integral on the given interval. n lim -Дх, [1, 8] n→* i = 1 (x;)2 +…

A: Definition of definite integral: ∫abf(x)dx=limn→∞∑i=1nfxi*∆x in the interval [a, b].

Q: Express the limit as a definite integral on the given interval. lim x, In(2 + x,') Ax, [0, 3] n- 00…

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Q: Express the limit as a definite integral on the given interval. lim X; V 4 + x3 Ax i = 1 [2, 3] n-…

A: Given the limit limn→∞∑i=1nxi4+xi3∆x in the interval [2,3]

Q: Express the limit as a definite integral on the given interval. cos(x) lim Дх, [Зл, 4л] X; i = 1 dx

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Q: Evaluate the definite integral: 6/x with the upper limit being 5 and lower limit 1

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Q: Express the limit as a definite integral on the given interval. x lim n- 00 -Ax, [1, 6] (x/)2 + 6 dx

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Q: Express the limit as a definite integral on the given interval. [5(x;)3 - 3x;]Ax, [2, 6] n- 00 i = 1…

A: see below the answer

Q: Express the limit as a definite integral on the given interval. n X;* lim -Ax, [1, 9] (x;*)2 + 8 i =…

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Q: Express the limit as a definite integral on the given interval. lim X; In(2 + x) Ax, [2, 5] i = 1 '5…

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Q: Evaluate the definite Integral by the limit definition. (x2 + 4) dx

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Q: Express the limit as a definite integral on the given interval. n lim -Дх, [1, 3] (x*)2 + 8 i = 1 dx

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Q: Express the limit as a definite integral on the given interval. [2 - 5(x,")2 + 6(x,)³] Ax, [4, 8] n-…

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Q: Evaluate the definite integral by the limit definition.

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Q: (a) '8 dx 2

A: (a)∫268 dx=[8x]26We know that ∫k dx=kx+C            = 8*6 - 8*2            = 32

Q: Evaluate the definite integral by the limit definition. L (x² + 4) dx X 31

A: use the limit formula for integration

Q: Express the limit as a definite integral on the given interval. lim n- 00 [4(x;)³ – 4x;"]ax, [(2, 7]…

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Q: Use the definition of the definite integral as a limit of a sum to evaluate 1 (x² – 4x – 2) dx -2

A: Given the integration of (x^2 - 4x -2) from limit  -2  to 1.

Q: Express the following limit as an integral. -2(x;)* – 9 3x; + 7) lim Ax over [1, 3] n-00 Provide…

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Q: Express the limit as a definite integral on the given interval. lim Ax [О, 6] 9 + X; i = 1 dx

A: The answer is found in step-2

Q: Express the limit as a definite integral on the given interval. lim. x, In(2 + x?) Ax, [2, 4] n- 00…

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Q: Evaluate the definite integral by the limit definition. + 2) dx

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Q: Express the limit as a definite integral on the given interval. x, In(2 + x) Ax, [0, 2] lim dx

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Express the limit as a definite integral on t lim n-oLX; In(1 + x;²) Ax, i=1

A: Given that: 1. limn→∞∑i=1nxiln(1+xi2)∆x, [0, 1]2. ∫13(x-4lnx)dx

Q: Express the limit as a definite integral on the given interval. lim Σ Σ x;* -ΔΧ, [1,4] 0-700 (x;*)2…

A: To express the given limit as a definite integral.

Q: Express the limit lim,, +00 Ei-1 8i2 as a definite integral.

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Q: Express the limit as a definite integral on the given interval. n x;* lim -ΔΧ, [1, 7] n→∞ dx i=1…

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Q: Express the limit as a definite integral on the given interval. exi Ax 3 + x; lim [0, 4] dx

A: We need convert summation in to integral

Q: Evaluate the definite integral by the limit definition.

A: Given: ∫031-2x2dx

Q: Express the limit as a definite integral on the given interval. n -Ax, (x;")2 + 6 [1, 5] lim i = 1 5…

A: Given query is to express the limit as definiye integral.

Q: Express the limit as a definite integral on the given interval. n exi lim -Ax [0, 9] n→∞ i = 1 6 +…

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Q: Express the limit as a definite integral on the given interval. cos(x;) lim n-0 i = 1 Дх, [2л, 5л]…

A: Given limn→∞∑i=1ncos(xi)xi∆xi in the interval [2π,5π]We need to express the limit as a  definite…

Q: Express the limit as a definite integral on the given interval. lim x; In(2 + x²') Ax, [0, 2] i = 1…

A: Given, limn→∞∑i=1nxi ln2+xi2∆x And interval 0, 2

Q: Express the limit as a definite integral on the given interv * 2x, + (x;")² Ax, [4, 8] lim n- 00 i =…

A: Given that: limn→∞∑i=1n2xi*+(xi*)2∆x,   [4, 8]

Q: Express the limit as a definite integral on the given interval. n x* lim (xF)2 + 2 Ax, [1, 7] (x*)2…

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Q: Evaluate the definite integral by the limit definition. x dx

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Q: Express the limit as a definite integral on the given interval. „m. 2 (3(x;)° – 6x;*]Ax, [2, 6] i =…

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Q: Express the limit as a definite integral on the giv cos Xi Ax, [3x, 4x] lim Xi i = 1 4л dx

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Q: Express the limit as a definite integral on the given interval. n lim x; In(1 + x}) Ax, [0, 1] i = 1…

A: Given: To convert the limit function to integral function, the following expression is used.

Q: Evaluate the definite integral by the limit definition

A: ∫268dxFormula:∫abcdx=cxab=cb-a   , where c is any constant.