(1) f(t)= 3² – e=!– f(7) e-

Q: 1 e-r/2 dx = 1. (2m

A: Using double integral of Cartesian form and polar form.

Q: Evaluate the integral: fe2 /1+ e2 dx

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Q: New York students must attend t hours, where t ∈ [0,H], of lectures and pass two quizzes to be in…

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Q: integral of 9(t-1) / t^2(t^2-9) dt

A: Integrate: ∫9(t-1)t2(t2-9) dt

Q: 4) Solve the integral: Show work 10x2-48x + 160 dx (x - 4)2 (x2 + 16)

A: Given,

Q: -1-y 3) Evaluate the integral dxdzdy?

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Q: V2 Evaluate the integral dx. Va2 +1

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Q: a=1 and n-1. Let f(t) = tet SHOW all of your steps of integration clearly.

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Q: x³ + 6x² + x +2 fx-1 ax + In{(x + 1)*(x² – x + 1)| +- 2 Tan Ve The resulting integral of -1 + C,…

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Q: dx. Evaluate the integral / (x² + 1)(^ · x – 2) -

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Q: dx integralini hesaplayınız. 1-x3

A: Evaluation of integral

Q: b) 1+x dx Approximate the integral both directly and by trapezoidal method for intervals 2 and 4.

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Q: Use substitution to find the indefinite integral. S(1- e 241-17e dt 34t- 17t2 dt ) e Describe the…

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Q: Using an appropriate substitution, 3 the integral S dx equals: /1-4 (х-1)2

A: Here we have to evaluate I=∫31-4(x-1)2dx

Q: Solve the separable equation using the integral factor  y⁴ y¹ +y¹ + x² + 1 = 0

A: Given equation is y4y'+y'+x2+1=0solve it

Q: Solve z2 = 1+ p² + q² . Ans. Complete integral is cosh-(z) = (a. 1

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: x'dx use the residual method to calculate the integral (x² +1)(x² +4)

A: Final answer is π/6

Q: (t² + 2t) dx = 2x + 8, x(1) = 1 dt

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Q: valuate the integral. (Use C for the constant of integration.) dx 3/2 (ax)² – b2]

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Q: Solve the ODE by y Integration a. = 0

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Q: 1. Kgothatso showed her classmates that dx%3D (x- 1) Without showing Kgothatso how you would…

A: 1.AgreeGiven Integral can be evaluated with the formula :∫yndy =yn+1n+1here y =x-1 , n=-23

Q: Q2) Evaluate the integral x dx a -0.

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Q: 4x2 Calculate the integral: dx 3/2

A: I use trigonometric substitution to calculate this integral to see full solution please visit 2nd…

Q: 56. Solve the integral of (x + 2y)dxdy with respect to x from x=y and x = y^2 and with respect to y…

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Q: 2x2-6x+8 3-x-V 1-x² The value of the integral dx is

A: We have to calculate the given integral

Q: Q2/Evaluate the integral: -1.57 9-x2 dy dx by changing the order of integration.

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Q1/ Evaluate the integral: -За (2уах 3a dy dx x2 4a by changing the order of integration.

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Q: Fourth Question: Find the general Integral of the given equation (D; – 4D,D, + 3D3) = /x+ 3y

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Q: |1-y2 ху Q3. Evaluate the double integral dxdy /1– y²,

A: We have to find solutions

Q: Solve the integral equation X = Jo e*-fg(t) dt.

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Q: (b) Show that I(n + 1) = n · I'(n), using integration by parts.

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Q: dx OFind the integration: XV4X-1

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Q: 3 a- 4 x + 4x² + 2 da Calculate the integral: x2 (x - 1),

A: Given,           ∫3x4-4x3+4x2+2x2x-1dx

Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: 2п +1 E. Σ Зп +2 Е. n=0

A: The given data is: ∑n=0∞2n+13n+2  Solve using the integral test.

Q: Evaluate the indefinite integral. (- 23е* + 3)е* -dx J (9e" – 7)(7e* + 2)

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Q: Find R3.3 approximation of the integral. c1 v3

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Q: e2x Evaluate the integral: dx 1 + eX

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Q: a) Find the indefinite integral of the function 1 y = 3t2 + 2e3t +- + 2 cos 3t | b) Calculate the…

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Q: Q2: Find the integration by applying substitution method: 7 dX (X – 1)VX2 – 2x - 48

A: Given,             ∫7x-1x2-2x-48dx

Q: G(x) = ∫^1vx xt2 dt (1 is the number on top of the integral sign, x on the bottom)

A: Given integral is:Solving the indefinite integral: The antiderivative of a function of the form xn…

Q: Evaluate the integral. dx a > 0 (a² x3,3/2' Need Help? Watch It Read It

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Q: Q(1) Find the integral of Vx² – 16 dx

A: Use substitution method to find its integration.

Q: dw 3. (w² +4)Z

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Q: er Q5:- Find the integral - dx n=8 using Trapezoidal method.

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Q: Solve the integral equation F(x) cos px dx: [1-p, 0sps1 0, p > 1.

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Q: Q3/8- Using Simpson's rule ,choose the correct integration value of x* +5 ,with width = 2? =1030…

A: By Applying Simpson's 3/8 rule.with widht =h=2

Q: Q2/ Evaluate the integral: 1.57 9-х2 dy dx X. by changing the order of integration.

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Q: dx Q3 a. Evaluate the integral X - x

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Q: New York students must attend t hours, where t ∈ [0,H], of lectures and pass two quizzes to be in…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.