The integral f(x) dx after a change of varia a. J f(2.5x +7.5)dx O b. 2.5 L 12.5×+75)dx C. f(5x + 5)dx

Q: Find the value of the constant  C for which the integral integral 0 to infinity [ (1/ sqrt x2 +4…

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Q: Evaluate the integral: fe2 /1+ e2 dx

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Q: Q1- Express of the integral in term of Gamma function and simplify where possible *e-2 dx.

A: Gamma function

Q: Q.1 Find the integral of f 2 /x+ e* ) dx. - 3

A: We will find the integral as following.

Q: a) 1+x? dx approximate the integral for 1, 2 and 4 intervals with Simpson's method. b) 1+x2 dx…

A: ∫01 dx1 + x2  To Find:  approximate the integral for 1, 2 and 4 intervals with Simpsons method…

Q: 1 2 -5) dx x3

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Q: The integral dx If the integral converges, enter the value of the integral in the blank below. If it…

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Q: 9. dx Evaluate the integral| - 3 x( In x) 3 9. dx 3 x( In x) 3 II

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Q: Q1- Express of the integral in term of Gamma function and simplify * x*e-2x dx. where possible

A: Use gamma function

Q: \ rV 25 – x2 Evaluate the indefinite integral. dx -

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Q: b) 1+x dx Approximate the integral both directly and by trapezoidal method for intervals 2 and 4.

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Q: Q1 Consider the integral - dx . 1+x? (a) Draw the graph of f(x). (b) For which value of n the error…

A: The graph of the function is sketched below using online graphing calculator.

Q: Find the indefinite integral.

A: Let ex+e-x=v. Differentiate both sides: (ex-e-x)dx=dv Substitute v and dv in the integral…

Q: A. Evaluate the following indefinite integrals using the Power Rule: 1. SE Va dx 2. S dx 3. S(-Vx +…

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Q: valuate the integral. (Use C for the constant of integration.) dx 3/2 (ax)² – b2]

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Q: Evaluate the integral. 4 dx (x – 4) (x – 1) | (Use symbolic notation and fractions where needed. Use…

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Q: 5x+1 What is f'(x) given the integral function f(x) = S cos(e") du?

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Q: x-3 dx r³+9x +9.x

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Q: 25 dx Evaluate the integral 4 x( In x) 25 dx x( In x)* II

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Q: The improper integral e-3x dx 0. equals Refer: improper integral O 1 O 1/3

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Q: The integral dx converges for p ? and diverges for p ? (x - 3)P If the integral converges, enter its…

A: Explanation of the answer is as follows

Q: A definite integral property says f₁² ƒ' (x) dx + f² ƒ' (x) dx = S² ƒ' (x) dx. What is ff'(x) dx? O…

A: Given graph of f'(x)

Q: -S 3x²-6x+7 x3-x²-x+1 dx

A: The given integral is ∫3x2-6x+7x3-x2-x+1dx. The objective is to evaluate the given integral using…

Q: The integral dx converges for p ? and diverges for p ? (x - 3)P If the integral converges, enter its…

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Q: 9. Use integration by parts to show that pP+1 ]n°(x) |aP In°(x) dx p+1 p+1

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Q: valuating the integral dx J0 x+9

A: Given integral is:            ∫04 xx+9dx

Q: e2x Evaluate the integral: dx 1 + eX

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Q: Evaluate the integral. dx (х — 13)(х — 23) (Use symbolic notation and fractions where needed. Use C…

A: Explained below

Q: Integrals with e Evaluate dx. 1 + e

A: Given- ∫ex1+exdx To evaluate- The above integral. Concept Used- Substitution method can be used to…

Q: valuate the indefinite integral. (Use C for the consta | (In(x))14 dx

A: Given: ∫lnx14xdx

Q: x = 3. Find the value of k, if ][ƒ(x)-kx]dx=7. Given f(x)dx=-Sand f(x) dx = 3 Using the properties…

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Q: Q1- Express of the integral in term of Gamma function and simplify where possible r°e-2x dx.

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Q: 72. (a) Use integration by parts to show that, for any positive integer n, dx (x² + a²)" dx 2a (n -…

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Q: Q3/ Find the integral x e* dx by using trapezoidal and simpson methods with an error of no more that…

A: According to question given :Integral ∫01x ex dx by using trapezoidal and simpson 38 methods with An…

Q: Evaluate the integral. (Use C for the constant of integration.) |(x* - 6x?3°x³ - 2x) dx

A: NOTE: Refresh your page if you can't see any equations. . ..............(1)

Q: wing integrals: 7.S In x x√4 lnx-1 dx 18.f ex 3-4e2x dx

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Q: Q2) Evaluate the integral x* dx 0.

A: To evaluate the given integral

Q: er Q5:- Find the integral - dx n=8 using Trapezoidal method.

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Q: x3  (x2 + 9)^(1/2) dx What is the integral of this?

A: Given integral can be expressed as

Q: Evaluate the integral. dx (х — 4)(х — 8) (Use symbolic notation and fractions where needed. Use C…

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Q: Q/ Find the integral 1 + X dx 1-X

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Q: 3 ex dx = e - e to evaluate (5е^ - 1) dx. Use the properties of integrals and

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Q: 2 V4-x V4-x? S dz dy dx. Evaluate the integral 0 0

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Q: 13. Evaluate the integral dx x – 1

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Q: Evaluate the integral -3 dæ x² + 16 Note: Use an upper-case "C" for the constant of integration.

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Q: valuate the definite integral: 4 x* — 2ух + 2 - -dx. x2

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Q: 1 dx 1) Evaluate the integral / G sinh x

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Q: y Evaluate the integral -dx using х3 — х? — 4х +4 X-1 x +2 x - 2 Зx? — 2х — 4 dx = J x – x² – 4x +4…

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Q: 5. Find the integral | 2(x* - x°) (x5 – 1)®dx x In(x + 2) dx а. d. | In x? dx | 2xe** dx b. е. 1 2x…

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