3x (4 - 3e dx ,5x e 1. 34* 2. dx

Q: 3 dx + dx ク一2 の

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Q: dy (e) — 2 — Зу , у(0) — 0 dx

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Q: 3. | (1- 2x) dx 0.

A: Given that, ∫01xdx=12 ∫01x2dx=13 ∫01x3dx=14 The integral to be evaluated is given as, I=∫011-2x3dx…

Q: 3 Inx S- 2. xV In'x – 4 -dx

A: Consider the given integral ∫ln3xxln2x-4dx Use the substitution method to find the solution of the…

Q: dx Given: 2x- 3xlnx Find: du dx 3 dx dx 3 dx ---

A: Explained below

Q: (2+3x)2 dx

A:

Q: 3X + 5e) dx

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: I. dx П. dx III. -dx

A: Given,

Q: -3* dx. Evaluate O2 3 3 +1

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Q: (3x + 1)'3 dx

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Q: 2. S (4x³ + 2x²) cos(2x) dx

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Q: 5x² S -dx 2. ex

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Q: 1 e -dx Ve-a + 1

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Q: 25. х* dx dy

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Q: | (3 + xx) dx

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Q: 47. Vx-1 dx

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Q: 23. ["Se' dx 5e* 2 24. S/2 ze de dx 2x

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Q: 24. 3e dx

A: The integral of ∫exdx=ex+C.

Q: 27 dx 1 - 8 ,3 II

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Q: 2 [ (e² + 1)² dx et

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Q: (3 – |x – 3|) dx

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Q: 2-у (бх + 2у?)dx dy -2

A: On solving this we will get

Q: EVC the ction: 1 dx x2/3 (1+x!/3)

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Q: |3x e dx 1.

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Q: 1. S 5e*dx 2. S(2 – 3e*) dx

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Q: 12. S 2-*dx

A: We use substitution method

Q: ii) Evaluate 3 -dx . Hence, solve et 2e* -dx . + +2

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Q: (3*-e*) dx Evaluate:

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Q: 2) (2х — Зу)dx + (2у — Зх)dy 3 0

A: we have to solve the given exact differential equation. (2x-3y)dx+(2y-3x)dy=0

Q: 5x4 dx x5-3 S4 cos (-3x + 2) dx [ 4cot 5x csc25x dx

A: You can solve these integral problems by using the method of substitution.

Q: 3) Se-*.cosh(2x) dx

A: cosine hyperbolic function we can write in terms of exponential function Coshx= [e^(x)+ e^(-x)]/2

Q: e 2x 1+ ex dx

A: on solving this we get

Q: > [2] S 1+e* dx 1-ex

A: The solution is given in the next step.

Q: In3 ex i. dx In2 4- ex i. X/16 - Inx e 1 iI. i xInx In2 1 dx Ino.5 e2x + 1 iv.

A:

Q: (5) (2х — у) — 2у — х dy dx

A: As per the guidelines, we are supposed to solve only one questions as multiples questions have been…

Q: -dx. Evaluate ſ &-3)(x*-1) ,. х2-2х-3

A:

Q: 8 dx +у %3D6. coshх dx

A: Given                 8d2ydx2-6dydx+y=6.coshx

Q: S (2 +ల1) 2) dx

A: We have to find the value of indefinite integral

Q: (28 - 3х — х3) dx 3x - x) dx

A: Given,         ∫48x3dx=960 , ∫48xdx=24 , ∫48dx=4        The integral is : ∫4828-3x-x3dx

Q: ∫_0^a▒〖√(a^2-x^2 ) dx〗

A: Consider the provided integral, ∫0aa2-x2dx Solve the provided integral. Apply the trigonometric…

Q: 2 (2х + Зу + 5) dx) dy -1 У-2

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Q: S. x³+1 -dx x+1

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Q: (3x + 2)e* dx

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Q: dy 2x +3y dx

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Q: Homework Evaluate: (a) dy dx 2y dy dx 1.

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Q: dx Given: 2x- 3xlnx Find: du 3 dx dx 3 -dx

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Q: - In²(Ine*) dx A In²x B B Inr Ine D Inx2 E) None

A: topic - definite integral

Q: dx > लिके of 4ーメ dX

A:

Q: 17x + 31 -dx J (5х + 4)(ӕ — 5) Evaluate

A: Given,            ∫17x + 315x + 4x - 5 dx

Q: dPu, Pu = 0, dx² dy²

A: In this question, we have to find the solution of the Laplace equation in the semi-infinite strip.