Q: If the change of variables u=x²+4 is used to evaluate the definite integral f(x) dx, what are the…
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Q: 2 S (x) + x³)dx = ? -1
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Q: Evaluate the definite integral.
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Q: S. 3 44. dx x* + 4x + 29
A: The given integral is ∫3x2+4x+29dx
Q: Suppose fhas absolute minimum value m and absolute maximum value M. Between what two values must |…
A: Apply formula for finding correct option
Q: 4) Evaluate the definite integral: S, (6x² – 3x + 7)dx.
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Q: 1 use this fact and the properties of integrals to evaluate dx =3 (7 – 6x2) dx. Given that
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Q: 5 2 +2 ) dx using Estimate I - n = 4 subintervals and (a) Left endpoints. (b) Right endnoints.
A: solution:-I=∫152x+2dx, n=4f(x)=2x+2∆x=5-14=1(a) Left end pointI=∆xf(1)+f(2)+f(3)+f(4)…
Q: Show that (In kx) dx (In x), where x > 0 and k is a positive dx real number.
A: ddxln kx=ddxln x, where x>0 & k is a positive real number.
Q: Evaluate the integral. 4 x - 3 dx X 1
A: Given:
Q: dx (1 – x3
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Q: Evaluate the improper integral |. 3.x dx or show that it diverges. +1 x?
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Q: Jse the composite Simpson's 1/3 rule with step length h = 0.4 to estimate In(2+3/x) 1, dx, 1+x2 I =
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Q: O Approximate So In (3 + sin x)dx using Simpson's Rule with(n = 4 %3D
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Q: Evaluate the improper integral 1 dx x - 1
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Q: Evaluate the definite integral. 3 3 dy y /1
A: As per bartleby answering guidelines we are allowed to answer only one question per post. Hence…
Q: 3. Evaluate the double integral /sin(x+y) dx dy by using Simpson's 1/3-rule with four sub-intervals.
A: I = ∫0π2∫0π2sin x+ydxdy,
Q: What is the integral of sin^5 x dx if the lower limit is O and the upper limit is T/2?
A: We have to find out
Q: Evaluate the following integral. 4 3е ху dz dx dy -111
A: Given: ∫-14∫13∫1ex2yzdz dx dy
Q: Evaluate the definite integral. 1 ex dx 0 1 + e²x JO
A: We will solve the definite integral.
Q: 2 1 The approximation of -dx by the composite Trapezoidal Rule with n=2 is O x+4 0.30833 0.40833…
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Q: How large should n be to guarantee that the Simpson's Rule approximation to dx is accurate to within…
A: Given: ∫017ex2dx where f(x)=7ex2 and a=0 , b=1.
Q: please show all steps
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Q: iSy dx dy 3.
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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 | (- 2* + 20z – 96z?…
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Q: Show using residues that the integral from 0 to infinity of dx/(1+x^6) equals (2pi)/3
A: We have to show that ∫0∞dx1+x6=2π3 by using residue theorem. Now, ∫Cdz1+z6=∫−RRdx1+x6+∫γdz1+z6 Now,…
Q: Use the composite Simpson's 1/3 rule with step length h = 0.4 to estimate In(2+3/x) -dx, 9• I = 1+x²
A: Given: I=∫26 ln(2+3x)1+x2dx
Q: The approximation of 3x e sin(2x) dx by Simpson's Rule is 2.584696
A: We have, ∫0π4e3xsin2xdx Let Number of subintervals be 30.…
Q: How large should n be to guarantee that the Simpson's Rule approximation to 19e is accurate to…
A: We need to find how large should n be.
Q: 16 9. Evaluate the integral 4 dx.
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Q: The integral that represents the length of the .3/5 curve y = x5, where 1 < x < 3, is the following:…
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Q: 1. Evaluate the improper integral 150 xe dx or state that it diverges.
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Q: 2 Which of the following integrals is equal to (3x – 5) dx if u=3x – 7?
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Q: 5 Only one of these calculations is correct to evaluate the definite integral 7x In(x) dx Using the…
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Q: 4-Évaluate the following integrals a) In dx b) ] ()"- dx 5/2 tan x
A: Integration: The collection of all antiderivatives of f is called indefinite integral of f with…
Q: 15 Find the integral | 2/x (1+x) dx.
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Q: The integral 4 dy dx is equal to: Select one: 12 6. None of them
A: To determine the value of the integral ∫03∫014 dy dx.
Q: What is the integral that represents the length of the curve from x 2 to x = 4. Select one: 4 ○ ₂²(1…
A: y = x4/4 length of curve formula = ∫a b1+(dy/dx)2 here limit given from 2 to 4 a = 2 b = 4…
Q: Evaluate the following integral. dx 1+ e2x - In 13 ex dx = 2x 1+ - In 13 (Type an exact answer.)
A: ..............(1) take ................put it back in equation 1
Q: 6. Use the Method of Substitution to find the indefinite integrals: et*dt b) /; 9 xp=
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Q: Use property 8 to estimate the value of the integral 1,12 15/0 - 58 a dx.
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Q: 13. Evaluate the integral dx x – 1
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Q: 5 Only one of these calculations is correct to evaluate the definite integral x² In(x) dx 1 Using…
A: First we have to find h and it's corresponding formula.
Q: 46) Estimate the minimum number of subintervals needed to approximate the integral T/2 6 sin x dx…
A: Find the minimum number of Subintervals.
Q: Only one of these calculations is correct to evaluate the definite integral Vx+1 dx Using the…
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Q: 2 Which of the following integrals is equal to (3x – 5) dx if u =3x – 7?
A: Given∫123x-5dx
Q: Q/ Find an integating factor for the diff- equ. 2y dx + (3y-2x)dy20? to
A: Conversion of non exact differential equation to Exact differential equation. Given differential…
Q: 16. Evaluate x + v1- x² dx by interpreting it in terms of areas.
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Q: Evaluate the integral. 10 r FIL √16 22 1 (x² + y²) 1/2 dy dx dz =
A: To evaluate the integral ∫04∫-44∫-16-x216-x21(x2+y2)12dydxdz
Q: 7 Evaluate the improper integral, if exists : dx (5 – x)3
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- The integral from 0 to 1 of ex2 dx cannot be evaluated by finding an antiderivative. Find a lower bound for the integer n to use for the Trapezoidal Rule in order to yield an error of no more than 10−3 for the approximation of the integral. You may want to use one of the following inequalities. If f (x) = ex2, then f " (x)≤ 6e and f iv(x) ≤ 76e for 0 ≤ x ≤ 1. n≥??Evaluate the integral upper 4 lower 9 of the (root of x) dxUse Simpson’s Rule with n= 10 to approximate the integral 0 to 1 e x2 dx
- Make an octave code to integrate ex with respect to dx from 0 to 1, by Simpson’s ⅓ rule. Divide the limits into 6 equal parts.use the midpoint rule n=5 to approximate integral 1 to 2 (1/x) dxIf the change of the variables u=x^2-7 is used to to evaluate the definite integral upper 6 and lower 3 f(x)dx what are the new limits of integration?