Q By direct Par tial integration, Solue the following PPE + dy dxdy 2(メ1b)-メ+ そ(29)334

Q: the order of integration sketch, reverse then evaluate d xely 2. Ing

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Q: y dy J 725 – 16y 2.

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Q: Vi - Ju du

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Q: Q6-Find the approximate value of (4.01) + (2.98) by using total differential?

A: We will find out the required value.

Q: find area between t =- 1.5 and t = 1.5  take df = 17

A: We have to find out given area between -1.5 and 1.5

Q: Q4) Evaluate the integral ," S," cIn2 cIn2 ye2x dx dy .

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Q: 1 dx J 74+4x²+4

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Q: Make a substitution first. Then use Integration Tables. dr = +C x® + 9

A: 1/3 (ln x^3 + √(x^6 + 9)) + c

Q: Q2: Reverse the order of integration S2 dxdy, then evaluate.

A: We have to change the order of the integration.

Q: z is jointly proportional to x3 and y3. If z=490 when x=8 and y=4, find z when x=6 and y=5. (Round…

A: z is jointly proportional to x3 and y3. So,   z  ∝  x3y3 z = kx3y3

Q: Q/find (2xy? -2x² y4 xy2+2x)dx+(3X=y?e4yldyco an int egratinagfactor theequation and find the…

A: Given the first order differential equation           2xy3-2x3y3-4xy2+2x dx+3x2y2+4y dy=0 Find the…

Q: y= lux of yoe Find DfR.

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

Q: Çind in fefinite intregal s .2dx - 2x+1 %3D

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Q: (S(nx)?dx re' 8.

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Q: Sx³ Vx? +4 Svdu- Using Integration By Parts, dx = uv-

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Q: A 20-foot chain weighs 5 Ibs/ft is lying coiled on the ground. How much work is required to raise…

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Q: [t²cos n=tdt 2 Solve the integration by table or zeroing method, then arrange the integral and the…

A: Sol

Q: are discharging toxic lake, and point x miles fro P(x) = 4x2 - 64x + 570 parts per million (for 0sx<…

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Q: Q1. Evaluate by substitution method 2 e*dx 1 – e2x |

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Q: Evaluate. (Use C for the constant of integration.) x2 dx (1 – 25x²)3/2

A: Given,          ∫x21-25x232dx

Q: Use integration by part to find: (x+2)e²*d

A: We have to evaluate the given integral using integration by parts.

Q: Integrate the following using the basic rules of integration and substitution 1. fx2 +5x3-x-³ dx

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

Q: Using basic rules of integration, find a. dr b. Jrdx c. fx'(-2r² - 8)dx 12x² – x d. xp- -dx 1-3х e.…

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Q: Use either integration by substitution x² +1 S x³+3x+5 dr given that A-5 and B=7 Give your answer to…

A: We need to evaluate the following integral ∫ABx2+1x3+3x+5dx, A = 5 and B = 7

Q: Solve PV = nRT for T. nPV AT RI PV B nR CT=PV - nR DT=NPVR

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Q: By using substitution and integration by parts, find S xe2x dx. (2х-1)2

A: Special Integral (Exponential Integral) : ∫exxdx = Ei(x)

Q: Solve by integrating factor by inspection: * 2 ydx — 3хy? dx — хӑу %3D 0

A: Explanation of the answer is as follows

Q: use Euler me thod to solve y's 3x²+J h=0.25

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Q: Find the value of integral (22 + ya)ds, where C is parmeterized by 7 (t) = (– 4t, 3t, - 2t) for 0<t<…

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Q: / 2x/64 – x* dx Evaluate the integration by substitution 16л 4л

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Q: evaluate using Integration by Parts, substitution, or both if necessary.

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Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. 1 7 dx 40) 1 +x 1747 A) 720 1171…

A: Using trapezoidal rule.

Q: (c) Reverse the order of integration, and evaluate the integral. 4. f * 4- dydr 5. o SJEjs e dydr

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Q: 9. (b + 4)e db

A: This question is based on Indefinite integration.

Q: C2. By dividing the range into 8 equal parts, evaluate 1 dx using Simpson's rule. 4x +9

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Q: Find the total differential. z = 8x4 8x4y10 dz = (No Response)

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Q: Integrate the following expression using tables or u-substitution and find the constant of…

A: According to the problem, we have

Q: Find the antiderivative dx/(49x2+16)2

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Q: Q4: Selve the eqations (Asmer TWO enly a) In (y+1)+ Inty-1)= 2x+ln x b) y = e +e*

A: These are the problem of the application of mathematics. First, we will convert the given equation…

Q: proof that [1] × [l, = [7].

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Q: Q2- Reverse the order of the integration ff dy dx + f2f²dy dx equal:

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Q: Evaluate 4.x sin(y?) y3 dydx. Hint: reverse the order of integration

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Q: Use the Trapezoidal Rule with n = 4 steps to estimate the integral. (Hint: if you calculate using…

A: This question can be solved by substituting n=4 in the general approximation of definite integral by…

Q: Evaluate. (Use C for the constant of integration.) x3 + 25 dx x2 + 25

A: Given that: ∫x3+25x2+25dx

Q: Use integration by parts to evaluate |6xe* dx. (7x+1)(6e*) +C A) бе 49 B) -7x e +C 7 | C) (6e"*) -7x…

A: givenI=∫6xe-7xdxif u=x and v=e-7xthen we use integration by parts Formula∫uvdx=u∫vdx-∫[ddxu∫vdx]dx+c

Q: We used Romberg integration to approximate ff(x) dx, we got R₁1 = R₂1 = R1 = and f(²)=2 Then f = 25…

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Q: dx 16.) Approximate Jo 4+x2 using: b.) То c.) S6 a.) M6 Round to 6 decimal places.

A: Given- ∫02dx4+x2 To find- Approximate the given integral using: a) M6     b) T6     c)S6

Q: By applying integration by parts, we have Jx° In x dx = x10 In x +10 + C 10 100

A: given :   integration by parts

Q: Sx√x + 1dx

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Q: x" In x dx

A: Given: I=∫xnln(x)dx