f(x) = _-2x² – 6x – 4 х2- х - 2 Holes: Vert. Asy: Hor. Asy: x-int: у-int: Domain

Q: 4 Inx b) Evaluate x'dydx by first reversing the order of integration.

A: Solution Given ∫04∫0ln xx2dy dxwe need to evaluate by first revesing the oder of integration

Q: 2. the inde fincte Integial X+8)(Vã-8) da

A: Just first the simplification of given integral and then integrate ∫xndx=xn+1n+1+C, where C is the…

Q: Use the Existence and Uniquness Theorem to verify, with initial value (-2,-1): y' = xy2

A: Consider the differential equation y'=xy2 with initial condition -2,-1 Compare the differential…

Q: Eualuate Integral S3x+2 VT-25x?

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Q: Evaluate the qwen Detinite Integra ax(7-x²)* dx 2X

A: From the given integration: I=∫-3-22x7-x23dx.....(1) Using the substitution method to calculate the…

Q: ) Use integration by parts to verify the reduction cosxsin x n-1 Scos" xdx=!

A: Here I=∫cosndx ⇒I=∫cosn-1x×cosx dx using integration by part;

Q: 2. y = x2-6x +8 Y UR Оpens Vertex_(3,29) Axis of symmetry. x-int. y-int (0,8) domain range

A: Given y=x2-6x+8 ⇒y=x2-6x+9-1⇒y=(x-3)2-1 ⇒y-(-1)=(x-3)2 Which is comparable to y-k=A(x-h)2, where (h,…

Q: -Svau Using Integration By Parts, x Arcsec 3x dx = uv- - Svau- Find uv- x² Arcsec 3x dx V9x2 – 1 o 1…

A: Here we have to solve the integration by using integration by parts.

Q: tan- Find -dx using integration by parts. x2

A: The given integral is: I=∫tan-1xx2 dx

Q: xlnx at 0<x<1 1-X Show that the function f(x)= is integrable on the interval [0,1]. x = 0 x = 1 at…

A: Given: fx=xlnx1-x,0&lt;x&lt;10,x=0-1,x=1 To prove: f is integrable on 0,1.

Q: 8 Evelluate the double integral: + 3x) dydx

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Q: Q5. (a) Evaluate the integral using integration by parts rule if fx'sin' 2x dx (b) Express the…

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Q: hat should be the rewrite of the integrand of ((2x+5) dy so that the resulting integral is…

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Q: Use the tabular method to find the integral. x²(x – 2)/2 dx

A: Use tabular method to find the integral  ∫x^2(x-2)12dx sign Derivative Antiderivative + x2…

Q: Givm trapgoidal rule with h =0.25 by Using apploximate the integral.

A: The solution is Given as

Q: Evaluate the integral. 1//3 3earctan(y) dy -V3 1 + y2

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Q: dx - Evaluate V4x' +9

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Q: Sx9'de 1. Integrate:

A: Given :

Q: 3. Use properties of integration to evaluate S, x³Vx* + 5dx. If necessary, round your answer to four…

A: Given : ∫12x3x4+5dx   The Answer:   13.5895

Q: Use Trapezoidal Rule with (n- 4) to find the integral dx x-1

A:

Q: 02:- By using integration by part, find :- (Choose two only) 2-f Inx (x') dx

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Q: Evaluate the integrals ∫(sec2 x) etan x dx

A: Evaluate: ∫sec2xetanxdx

Q: ) Find the integration: V1-X

A: Given integration, ∫032dx1-x2

Q: Find the area of the surface formed by revolving y = x³ on 0 < x<1 around the x-axis. Show all steps…

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Q: Let u = x3 + 1. Indicate how the limits of integration should be adjusted in order to perform the…

A: Given

Q: he integra = 3/2 is dz Z-2

A:

Q: Find the integral. Show complete solution dx 4. Vx(1+x)

A: ∫1x(x+1)dx Substitute :               u = x ⇒ dudx = 12x               ⇒ dx =…

Q: Use partial fractions to find the indefinite integral. integral((x^2-x)/(x^2+x+1))dx

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Q: -f integration for

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Q: Use partial fractions to find the indefinite integral ∫ 5 / (x2 + 3x − 4)   dx

A: Evaluate: ∫5x2+3x-4 dx

Q: What values of a and b maximize the value of (x – x²) dx? |(Hint: Where is the integrand positive?)

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Q: THE AREA BETWEEN THE CURVES 4 y = x²³² AND y ²³ = 4X IS REVOLED 2 ABOUT THE LINE X= -1. SOLVE FOR…

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Q: Integral of cos2x on [0, infinity]

A: We have to use limits to find the given integral.

Q: only the limits of the integration

A: We have to find out the limit of the given integration. The given integration is I=∫∫Rdxdy

Q: I Eliminate the arbitrary constants 1. X = y=at + bt² - Int,

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Q: evalu ate the integ ho ral (Usec for Hhe constant of integ ra (In (x))²dx

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Q: 4d.x To integrate the first step is to decompose the integrand to

A: Integrand is decomposed into fraction.

Q: 3t2 Int dt

A: Given that: ∫3t2lntdt

Q: What are the new limits of integration if apply the substitutior u = 6x + t to the integral sin (6x…

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Q: A golfer makes a successful chip shot to the green. Suppose that the path of the ball from the…

A: Please refer to the image below

Q: Sudv= 2x)dx can be evaluated using integration by parts of the form v=uv

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Q: Express the integrand as a sum of partial fractions and evaluate the integrals. x+3 dx - 8x Rewrite…

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Q: Solve using integrable combination technique only: (x^2y^3−(6+1)y)dx+(x^3y^2+(9+1)x)dy=0

A: Solve using integrable combination technique only: (x^2y^3−(6+1)y)dx+(x^3y^2+(9+1)x)dy=0

Q: cosx dx sin²x-5sinx-6

A: Find your answer below

Q: (a) Evaluate the integral using integration by parts rule if x' cos' 2x dx (b) Express the…

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Q: 2. fx Arctan xdx

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Q: COSX - dx sin²x-5sinx-6

A: The integral is given by I = ∫cosxsin2x-5sinx-6dx                             ...........1