The integrating factor of the DE 2y(x^2 - y + x) dx + (x^2 - 2y) dy = 0 is O x^2 O 2x O e^x O e^(2x) O NA

Q: 3. (a) Determine f 2xe3*dx by using integration by parts. (b) Determine S cos(x²) 2x dx by using…

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Q: 14. Use integration by parts to evaluate each integra 2. 2X e dx 2 In x dx b.

A: Given

Q: 2. Evaluate the integral 4 dx V2x-5 5/2

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Q: •12 Evaluate the integral dx dy by reversing the 3 order of integration.

A: To evaluate: The integral of ∫012∫y34ex2dxdy by reversing the order. Explanation: Consider the image…

Q: 3. (a) Determine S 2xe3*dx by using integration by parts.

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Q: У (2ху + 1)dx — хӑу %3D 0 ||

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Q: 0. Inx dx -2

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Q: 19) Derive a one point integration formula to estimate the integral f (x) dx.

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Q: SOLVE IT BY USING INTEGRABLE COMBINATIONS BY INTEGRATING FACTORS FOUND BY INSPECTION y(2x − y +…

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Q: 1. Evalute the improper integral 3x dx. 1+ x2 -1

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Q: Integral in REVERSE ORDER

A: Given that  I=∫08∫y32ex4dx dy Limits are given y=0 and y=8     x=y3y=x3  and x=2

Q: 5. Integrate 2x-1 dx by using substitution method.

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Q: Find the simplest integrating factor u(x) of - xy' = (8x + 9)y + x In(x). µ(x) = %3D

A: As the given equation is an first order differential equation ,we can find integrating factor.

Q: 1 V5x + 4

A: We have  ∫1x dx=2x.

Q: 4) Use integration by parts to find f x² In 5x dx

A: As per our guidelines we need to solve only one question.please, repost the remaining questions as…

Q: In(2 x) dx =; x³ In( 2 x) - +C x e dx = -2 (2 +x) e +C

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Q: lo calculate S dx 3x2 - 2 integration by parts is the best integration technique to use. True False

A: The given question contains an integral that we have to solve . The question consists of terms of x…

Q: CSCX-1

A: Multiply numerator and denominator by (cscx-1)

Q: Verify the power rule for integration fx'dx= n+1

A: Given a power rule of integration,

Q: 2+x a) S dx x²+9

A: Given: I=∫2+xx2+9dx For evaluating given integral, first we separate terms then integrate it

Q: Find the Integration of 1 dx. (6x+7)6

A: To find: The integral of ∫dx6x+76. Formula used: Integration formula: Power rule of integration:…

Q: Find the Integration of: f(3sin t + esin ty cost dt In 3

A: we have to integrate the following

Q: 3. Use properties of integration to evaluate S, x³Vx* + 5dx. If necessary, round your answer to four…

A: Given : ∫12x3x4+5dx   The Answer:   13.5895

Q: 1 Evaluate the integral- sec 2 (5e Vã -2) dx Vx e - Vx 1 sec? (5e -2) dx= Vxe-Vx

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Q: To calculate x²e*dx dp, integration by parts is the best integration technique to use. O True O…

A: Explanation of the solution is given below...

Q: 7. Integrate 2x-1 dx by using substitution method.

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Q: sketch the described regions of integration. 1 ≤x ≤ e2, 0≤ y ≤ ln x

A: Given  1 ≤x ≤e2 , 0≤ y ≤ ln x

Q: d) Evaluate using integration by parts: [(x+2)ln x dx

A: Integration by parts rule:

Q: Express f, 4xyz dV , where E = [0,1] × [0,2] × [0,3] by using different orders of integration. Hence…

A: To find the value of the integral

Q: To evaluate / (3x2+ 1) In x dx using integration by parts, it is best to let A u= 3x2; dv= In x dx…

A: Integration:- A integral assigns numbers to functions in a way that describes displacement, area,…

Q: Evaluate the definity integral  from 0-4 (x-3)(x-5)dx

A: Evaluate the integral ∫04x-3x-5 dx.

Q: 1. Evaluate S x³V1+ x² dx using Integration by parts.

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Q: By using integration by parts, one can prove the reduction formula. | (In(x))" dx = x(In(x))" – n/…

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Q: What is the double integral of 15x^2 dx dy with 0<=y<=30.81 and (y/6)-2<=x<=y^(1/3)?

A: Given, ∫030.81∫y13y6-215x2 dxdy

Q: 2. Use integration by parts to establish the reduction formula: Sx" cos x dx = x" sin x – n x"-1 sin…

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Q: The most convenient way to evaluate A) True B False 2x-3 S- -dx is use Integration by Parts. x²-3x+5

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Q: 2 с4 - Si Se-*-2Y dydx 2х

A: Here we have to the double integral value      ∫02∫2x4 e-x-2y dy dx .

Q: Sudv= 2x)dx can be evaluated using integration by parts of the form v=uv

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Q: sketch the described regions of integration. -1 ≤ x ≤2, x - 1≤ y ≤ x2

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Q: What is the (a). general solution to xydx-(x+2) dy=0? (b) integrate.

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Q: NN² 4xy² dydx /4-x2

A: In the given question we have to draw the region of the integration s.t…

Q: Calculate using integration by parts: x^3 sin(x^2) dx

A: Given: ∫x3sinx2dx

Q: Solve using integrable combination technique only: (x^2y^3−(6+1)y)dx+(x^3y^2+(9+1)x)dy=0

A: Solve using integrable combination technique only: (x^2y^3−(6+1)y)dx+(x^3y^2+(9+1)x)dy=0

Q: In 3 | (1-x)e"dx ах In

A: Consider the given integral

Q: Use integration tables to find or evaluate the integral.

A: To Determine: Use integration tables to find or evaluate the integral. Given: we have ∫32x9x2-1dx…

Q: 5. Integrate using an appropriate integration technique. a) ⌠ex sin(ex) dx b) ⌠sin3(2x) cos3(2x) dx

A: use substitution method for finding  integral

Q: By using integration by parts, one can prove the reduction formula. | (In(x))" dx = x(In(x))" – n /…

A: This question is about application of integration

Q: 17. Integrate xylnx 3 X enfra W + C 3 2(1 x)² 3 2 ln x L +0 + C (In x)² + C

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