-X y`+ 2 y+ y = e %3D

Q: Find a and b in Va+4x-5 dx = x+2

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Q: х3-2х2+3х-3 5. S dx х2-2х+1

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Q: メ 2 4. Sô 5 dx

A: We have to solve

Q: X-1 (x - 2)² 5. S dx

A: We have to evaluate the integral.

Q: ex- ex - y%3D ex +e-x

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Q: 3. SV1+ V1+x dx

A: Given integral ∫1+1+x  dx

Q: (ii) S(x + 2)² In(2x) dx

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Q: -3 S x(3x – 1)® dx

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Q: · x+3 S*** dx x-1

A: To evaluate the integral: ∫x+3x-1dx Solution: Evaluating the integral.…

Q: 8y3–1 dy 5. S 2у+1

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Q: メyゴ= ザ+×x。+y %3D ind gen eral solution

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Q: Find S н - 2+ dx

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Q: Using Reciprocal Substitution dx For S xVx²+2x-1

A: This is question related to reciprocal substitution in integration.Solution is given below.

Q: 2. S x(x + 4)1/3dx

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Q: 11-x 1 S S S dydzdx 00 x+Z 2.

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Q: 2. 7. S(x³ – 6x + 5)* (x² – 2)dx

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Q: cln /3 2e" Ve2x +1 dx

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Q: S(y* - y-3)dy

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Q: 6 S(3csc°C+) - &e*)dt

A: Given integration is : ∫3 cosec2t-8et dt To find the value of integration

Q: (2x+1)dx (x+2)^(x–1)“ (x+6)dx S (æ+2)² dx S æ (1+a²)

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Q: 3 4 (5х + 3у) dx dy 4 (5х + Зу) dx dy %3

A: Evaluate the iterated integral∫03∫045x+3ydx dy

Q: b. S dx ¿ -1

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Q: general solution of (2xy³-2x³y³-4xy²+2x)dx+(3x²y²+4y)dy=0

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Q: 1 2- 1- dx e5x + e-5x x4 1+ x6 e5x e-S dx

A: As per the guidelines we can solve 1 problem only

Q: X = e not inelude th degreo QUmbelin

A: The triangle is shown in diagram ,

Q: 2 S (x² – 4| – |æ – 1)) dæ - 4| – |x – 1|) dx -2

A: Definite integration

Q: 4. S ( 12 x³ + 15 x - 20 ) dx 5. S 10 x2/5 dx 6. § 3 ³V x8 dx 7. S ( 8 + 2 dx x3 x4. 8. S ( 2x³ -…

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Q: Integrate: x e -11x

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Q: e3x dx ex – 1

A: Given: I=∫e3xex−1dx

Q: L{t – e-3t} = + s-3 L{t – e-3t} = =-- I. II. s-3 L{t – e-3t} = +3 L{t – e-3t} = III. IV. %3D s+3

A: We know the Laplace transforms Ltn=n!sn+1, s>0 L ea t =1s-a, s>a Now, Lt-e-3t=Lt-Le-3t L t…

Q: 8. y = In(x + V +1)

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Q: Q3. Evaluate S 2x+1-5x-1 dx 10*

A: Given that ∫2x+1-5x-110x dx evaluate the integral

Q: eral solution. - 1) dx + (3x – 2y + 3) dy

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Q: 4. S(x + e*)²dx

A: ∫x+ex2dx

Q: . Evaluate S (-+ 3e* ) dx

A: We have to Evaluate  ∫ {(1/√x) - (2/x) + 3ex} dx = ∫(1/√x) dx - 2 ∫(1/x) dx + 3 ∫ex dx

Q: 2 4. S dy 1 y +y° - 3

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Q: fea)=4(2 grath /decay

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Q: 10. ((ex-2)2 e 2x + 4 S dx

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Q: 4. y ln x + xesin y = 0=

A: Given

Q: 1. S(2x° - 5x + 2)dx

A: We have to find the given integral

Q: integrate e^(8x+e^(8x))

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Q: 6. 2 I (ve**)dx dy у /2

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Q: (2x+1) dx 5. S (x+4)*(x-3)6

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Q: Match the line with its slope

A: Find the slope of the line

Q: 5) dx (3x+2y-5) = 0 (2x+3y-5)

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Q: 11) y"-y=- %3D (1+e ")

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Q: 5, S₂(4 - 2x)dx

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Q: 4. S(5x +) dx = dx = 2 5. S- x7 x4- 15x6 6. S (四 극) dx %3D

A: