EVALUATE THE FOLLOWNG DOUBLE INTEGRAL BY REVERSING THE ORDER OF INTEGRATIC Vx²+! 'dx dy

Q: / 1 – x2 dx (c)

A: Given I = ∫1-x2x3dx    ......... (1) Integration by parts ∫u(x).v(x)dx = u(x)∫v(x)dx…

Q: Compute the integral ∫dx / 5sinx+2cosx+2.

A: Apply t substitution

Q: Evaluate the integrals using fundamental theorem. | (2 sint – 24) dt

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Q: Evaluate the iterated integral. LLL* dz

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Q: Evaluate the integral. 5 cosh(t) dt

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Q: What should be the rewrite of the integrand ofSAS dx so that the resulting integral is integrable?…

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Q: b) Estimate the integral esindx using composite traperoidal rule with h= 0.25.

A:

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.

A: Consider the integration as

Q: Evaluate the integral: (In z) dz =

A:

Q: x +1 dx. Vx² + 10x + 28

A: given∫x+1x2+10x+28dxlet us write numeratorAddx(x2+10x+28)+B=x+1A(2x+10)+B=x+12Ax+10A+B=x+1comparing…

Q: Сompute 1. f dx, where f(x)=|x|.

A:

Q: Compute the double integral (either in the order of integration given or with the order reversed).…

A: Given: ∫01∫arcsinyπ21+cos2xcosxdxdy

Q: In the integral for the moment Mxz with respect to the xz-plane of asolid, why does y appear in the…

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Q: Find the integral. Show work. Inx dx

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Q: Estimate the error in approximating the integral from 1 to 3 2x^3dx with n=4  by using the…

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Q: hat should be the rewrite of the integrand of ((2x+5) dy so that the resulting integral is…

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Q: | Vx In x dx; u= ln x, dv = \x dx

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Q: Compute the integral of f(x) = 0.4 – 2x² + 40x5 from a = 0 to b = 0.8 using i. Trapezoidal Rule with…

A: Numerical integration

Q: Evaluate the integral. zp zul s)

A:

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: Consider the given integration I=∫133xx2+xdx

Q: 6.x dx V1- x4

A:

Q: Use Trapezoidal and Simpsons 1/3 rule to estimate integral ( - 2x° + 7x - 5) de.

A: The expression ∫13x3-2x2+7x-5dx. We have to use Trapezoidal and Simpsons 13 rule to estimate the…

Q: Show how an improper integral having an integrand f(x) with a pole x0 is regularized as a…

A: Cauchy principal value, is a method for assigning values to certain improper integrals which would…

Q: Use a double integral to find the area bounded by y = x², y = -x+ 12, and y = 4x + 12.

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Q: x cos 4x dx; u = x, dv = cos 4x dx

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Q: sin Bt dt

A:

Q: Evaluate the integral using lIntegration by Partsisubstitution, or both if necessary. In(In 10x) dx…

A: Rewrite the given integral as shown below: ∫lnln10x10xdx=110·∫lnln10xxdx

Q: Evaluate the integral 'In (Inz) dz X

A: Note: instead of x there should be z in denominator otherwise x behave likes constant.

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv: -9a In(z)…

A: Given : ∫-9xlnxdx

Q: | 7x2 V2x3 - 1 dx

A: Here the given integration I=∫7x22x3-1dxNow Substitute as2x3-1 =u⇒6x2dx=duThus the integration…

Q: What should be the rewrite of the integrand of dx so that the resulting integral is integrable?.…

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Q: What should be the rewrite of the integrand of -dx so that the resulting integral is integrable?

A: Given I = ∫2x-52x2 dxlet f(x) = 2x-52x2simply the numerator and denominator of f(x) to get integral…

Q: 1. Estimate the integral using Trapezoidal approximation rule with n=4: 2 + t)dt

A:

Q: Make a substitution to express the integrand as arational function and then evaluate the integral.…

A: Given: ∫x3x2+13dx

Q: By using u = In x, evaluate the integrals In x dx.

A: ∫x-1xlnx dx Now put, u=lnx⇒dudx=1x⇒du=1x dx

Q: Evaluate the integral. S- dx 8 =, x> 7 V49x2 - 64

A: Solution-

Q: [xt xtan xdx

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Q: Use double integral to find the avea l2: of the regien (4, 3) 3. -

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Q: YA y= f(x)

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Q: 1 Oblicz d.x, Vax ах — х2 – x²

A: In this question, we have to evaluate the improper integral. Here we also use the property of Beta…

Q: Compute the integral ∫ex/2dx.

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Q: Vx – x² dx

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Q: Evaluate the double integral. dA, D-

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Q: Evaluate the integral: (In z)6 dz %3D

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Q: 2.

A: Consider the iterated integral ∫01∫124x3−9x2y2dydx

Q: I need to evaluate the integral by reversing the order of itegration

A: Given,

Q: Evaluate the integral S(VE + vaj*dx; ais constant

A: Explanation of the answer is as follows

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.