Line integral (Calculus 3) #1

Q: √√x-³√x+3x-1 dx 1. S

A: The calculation follows as:

Q: Using Integration By Parts, x Arcsec 3x dx = u v - Jv du - iv- Svau. Jv du. Find uv- o Arcsec 3x -…

A: Given: ∫x Arcsec3xdx=uv-∫vdu   ......(1)   As we know that; The chain rule; fgx'=f'gx·g'x The Power…

Q: Determine (x + 1) dx.

A: topic - definite integration

Q: Using Integration By Parts, Vx In 2x dx= uv- Jv du- Find u v- du- 3 x/x In 2x- Vx dx 2 O 2 xVx In…

A: The given integral is: ∫xln 2x dx

Q: z° – 6z' + 4z – 2 dz |

A:

Q: 3 dx 2 х2+1

A: Given problem:-

Q: x² dx √1+4x³

A: Solution of given question is written in below steps.

Q: 6. * Sx3 V4-x2 dx

A:

Q: In x dx 19.

A: We have to solve

Q: Seawater has density 1025 kg/m and flows in a velocity field v = yi + xj, where x, y, and z are…

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Q: coplanar.

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Q: 1 dx -1 1+ 3x²

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Q: dr V-1 2.

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Q: What is integral calculus

A: Our Aim is to define Integral Calculus.

Q: Integration by parts tan Cx) dx

A: Given- ∫extanxdx To Find- The value of the above integral.

Q: Area bounded by y² x = -1 = x and x – y – 2 = 0, revolve about | %3D

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Q: Integration by parts Evaluate  ∫ x sin x dx.

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Q: .J (6xy*) dy dx (бху?,

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Q: Integral Calculus: Integration by parts

A: It is given that the integration ∫ydyy-14. Note that  The integration by parts formula  ∫udv=uv-∫vdu…

Q: In 2 e2x dx /1 + e*

A: power rule: ∫undu=un+1n+1 Use basic rules of integration to solve the problem.

Q: INTEGRAL CALCULUS 1. Find the centroid of the area bounded by the curve y=4-x^2, the line x=1 and…

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Q: Evalual e bounded by the the area se mie 1| ipse =2-メ 4 the lines メ= +|

A:

Q: 6. x'dx

A: “Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Using Integration By Parts, Vx In 2x dx =uv- -Svdu Jv du Find UV- du O 2 늘 xVX In 2x-| Vx dx Xx In…

A: A detailed solution is given below

Q: |(x-3-8) Evaluate the integral dx using the Fundamental Theorem of Calculus. 1/2

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Q: Integration By Parts

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Q: integration by parts

A: Integration by parts (3). ∫sinx lncosx dx

Q: х3 dx (а2-х?)2

A: Given integral is ∫x3dxa2-x22

Q: Arcsin y dy

A: Let us find the value of ∫01Arcsiny dy. This can also be written as ∫01sin-1y dy Let I=∫01sin-1y dy…

Q: . Orthogonal Trajectories y = C (sec x + tan x) Oy² = 2 (C -sin x) 2y = (Csin x)²

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Q: NTEGRAL CALCULUS - INTEGRATION BY PART

A: Consider the provided integral, ∫ 4x·cos2-3xdx Solve the provided integral by using by parts…

Q: 1 dx dy (2x + 3y)²

A: Given that, the integral I=∫12∫01 12x+3y2 dx dy

Q: Sy cos y· sin²y dy

A: Given: I=∫y.cosy.sin2ydy

Q: Secor, x²cosx dx use integration by parts. What is the expression after the second integration by…

A: We have  to solve above integral

Q: dx 1+Vx

A: Use the appropriate substitution and than simplify the expression in standard form to integrate…

Q: PART I. DIFFERENTIALS Using differentials approximate the value of the following 5. √64.05

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Q: Evaluate: e*dx X Ve2x

A: In this question we have to find the integration.

Q: イナ dx メーよ

A: Given :∫12x+1x-5dx

Q: . Seawater has a density 1025 kg/m3 and flows in a velocity field v = yi + xj where x, y, and z are…

A: Given Data The density of seawater is ρ=1025 kg/m3. The velocity field is v=yi+xj. The equation of…

Q: 6. Cos dz

A: (6) Consider the given integral as ∫e2zcos14zdz

Q: dy 1.5: ey sin( e-y)

A: To evaluate the given integral: I=∫dyeysin(e-y)

Q: S sec20 · tano(1+ 3tane)ž do

A: To determine the indefinite integral.

Q: coplanar

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Q: 1 х-х2 dx -8 2

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Q: uestion: Explain how integration by substitution is "undoing the chain rule".

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Q: Regian bounded by y-x and y=X+2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: x dx e4x

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Q: Using Integration By Parts, (2x2 e -Svau dx = uv- Find u v- Sv du- 1 6 x2 e - f12 x e3" ax Soxe s".…

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Q: Using Integration By Parts. x3 x2 +4 dx =uv- v- Svau- -Svdu. Find uv- 3 글x리 (x2 + 4)Z-/글x(x2+ 4)2 dx…

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