arccos(7y) dy: Consider the integral. V1 – 49y? This can be transformed into a basic integral by letting U = and du dy After perfroming the substitution, you obtain the integral du

Q: y'dy Evaluate the correct integral of Vy?+4

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Q: The improper integral A) 0 B 1 C D e +∞o Sto 0 8 ex dx is

A: On solving this we will get

Q: Calculate this integral a Sat-x? 3/2 x²+y²)¯ dy dx -a

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Q: me result of the integral in 0 given | V ²– 25 -dy is 5 tane – 50 +C , y A) True B) False

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Q: Consider the integral ey dy: ey + 4 This can be transformed into a basic integral by letting u = and…

A: Explanation of the answer is as follows

Q: y'dy Evaluate the correct integral of Vy²+4

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Q: Evaluate the Integral (1+ z²)e²sinz dz, where C:lz=, and Compare byany two methods results. the

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Q: Consider the integral -8e-y/2 dy If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: The improper integral A e B C) O D 1 if the 0 ∞ ex dx is

A: Solve the integration  From 0 to ♾️ for the integrand e-x.

Q: Given the integral " Se F(x, y) dydx, which ONE of the following integrals is equivalent?

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Q: V2y? – 3 dy y?

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Q: Consider the triple integral I - f L, S dzdydx. The value of I is:

A: In this we have to integrate this triple integral problem three times with respect to z, y & x

Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's rule to approximate the integral In(x) dx…

A: We use trapezoidal rule ,midpoint rule,simpson's rule to approximate the given integral

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) -6x…

A: To evaluate the integral by making the given substitution. ∫e-6x dx, u = -6x

Q: a) Evaluate the integrals using appropriate substitutions. dx Sino i)S i) f de Cos? 8+1 1+16x2

A: as per our guidelines I am solving only first question with both parts a(i) ∫dx1+16x2ii ∫sinθcos2θdθ

Q: aluate the integral by first reversin TE: Enter the exact answer. dx dy

A: Sketch the region of integration according to the given limits of integration- 0≤y≤9,y≤x≤3

Q: Evaluate the integral T 22 P" sin cos e de dode Hd 0 H₂

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Q: For the integral e4z – 10 dæ, if we use the substitution u = 4x – 10, what will be the new integral?…

A: We use substitution method

Q: 4y?-25 dy 3. y f

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Q: for Ja* - – 4 dz: 3 V 5 Consider the indefinite integral This can be transformed into a basic…

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Q: (In(z))² dz: Consider the indefinite integral This can be transformed into a basic integral by…

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Q: Calculate by using integration by substitution, 6 . • X dx x4 + 2 What was your substitution? u =…

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Q: 1. Evaluate the improper integral or show that it diverges. (a)/ e* dx 8. (b) / dx (c) d.r (d) /…

A: If the limit exists and is a finite number , we say that the improper integral converges .If the…

Q: Evaluate the given integral using the substitution (or method) dx; u = . 7e +C Show My Work…

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Q: Evaluate the integral sin(z?) dæ dy by reversing the order of integration. With order reversed,…

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Q: The integral dz is equal to 2e + C. Select one O True OFalse

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Q: Let f(x) = and calculate V35-z+1 dr by using integration by substitution. What was your…

A: substitution method find integration

Q: Consider the integral 3 4х f (x, y) dy dx 0, Evaluate the integral for f (x, y) = 5x²y

A: Given Data: Integrand: ∫03∫04xfx, ydydx Function: fx, y=5x2y3 Integrate the function. ∫03∫04xfx,…

Q: Consider the indefinite integral 5x+6 dx: a) This can be transformed into a basic integral by…

A: Given ∫e5x+6 dxLet u=5x+6 →dudx=5→dx=15du

Q: Evaluate the integral. NOTE: Enter the exact answer. dy dx (xy + 1)

A: We need to evaluate the integral- ∫04∫01x(xy+1)2dydx Here integral is with respect to both x and y.…

Q: Transform the integral fo So sin o ne do de by the substitution x = sin o cos 0, y = sin o sin 0 and…

A: The given integral is, ∫0π2∫0π2sinϕsinθ dϕdθ To substitute x=sinϕ cosθ  and  y=sinϕ sinθ The limits…

Q: Find the integral. (Use C for the constant of integration.) (t + 3)cos t2 + 6t) dt

A: Consider t + 3 as u. Then,

Q: Consider the integral dx x . Using u-substitution, what is an appropriate u and du? -2x 2e

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Q: 2. Given the integral: e/x dx;n = 8 d) Use the Trapezoidal rule to approximate the integral using…

A: When n = 8, then h = 0.25 and given f(x) = e1/x

Q: d²y , dy 3. Find a particular integral for dr2 = sin r dr

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Q: Evaluate the integral. V16-a? 1 dy dx dz = -V16-x2 (x2 + y?)1/2 -4.

A: We can solve as follows

Q: E 3y dx dy Evaluate the integral

A: Consider the given integral  ∫01∫-1-y21-y2 3y dxdy

Q: - sin(y) dy: cos(y) + 7 Consider the integral- This can be transformed into a basic integral by…

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Q: %3D 7. Evaluate the following integrals using the multiple rule of integration take (Ax = Ay = 1):…

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Q: Which of the following is not an improper integral? dx a2+9 dx (x-2) dx O J3 3-2x-a² O 7 tan æda So

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Q: EX. Evaluate the oJoJ (x*+2xy+y?) dydx when step Size of X = 0-2 dnd step Size of y= o-5 use…

A: The given function fx,y=x2+2xy+y2 step size x=0.2 and y=0.5 Step size h=0.2 fx,y when x=0.2 and…

Q: Find the line integral of f(x,y) = y e* along the curve r(t) = - 5t i – 12t j, - 1sts0. The integral…

A: Use parametric to integration

Q: V 11y2 – 15 dy y2

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Q: Evaluate the integral , dx 1+ e* using the substitution u = 1+ e". %3D et dx 1+ e"

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Q: Q2. Evaluate the iterated integral by changing the order to dx dy. eu dy dx

A: For reversing the integration order, we will replace the limit of x and y with interchangeably. Then…

Q: Evaluate the integral F(= - 0)"dz, (x³ by making the appropriate substitution: u = P(* - 0)"de -…

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: The result of the integral in 0 given |V y²– 25 -dy is 5 tane – 50 +C, y (A) True (B) False

A: To solve the following integral

Q: Roro is looking at the iterated integral (x² + y²) dx dy and suggest to Mpho that the integral does…

A:

Q: The improper integral A) e (В (C) O (D) 1 8 Stoe ex dx is

A: We have to find the value of the integral