(b) Evaluate the integral fxIn x dx using by parts formula.

Q: Use the fundamental theorem of calculus part 2 to evaluate the 3 integral: S (9x – 4) dæ. -2

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Q: Evaluate the iterated integral. 4 (x² - y²) dy dx -4

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Q: ,3 Evaluate the iterated integral dx dy

A: We have to evaluate the iterated integral ∫12∫yy3dx dy.

Q: Evaluate the triple iterated integral. 2/2 xyz dx dy dz 0/ -1

A:

Q: Use the specified substitution to find or evaluate the integral.

A: We need to use the specified substitution to find or evaluate the integral.

Q: calculate the integral -2x+4 I=S (x2+1)(x-1)² -dx

A:

Q: Calculate the iterated integral. dx

A: Value of the integral is (9/2)ln2  See below the explanation

Q: Evaluate the integral. inegral (3t -2 )/ (t+1) dt

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Q: Evaluate the iterated integral. 2 1T 2 - 2y3) dx dy

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Q: Evaluate the integral. dt e dt = %3D

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Q: Evaluate the integrals in Exercises 1. esin (e) dx 2. e cos (3e – 2) dt

A: Given the integration I=∫exsin(ex)dx

Q: Evaluate the iterated integral. 74 (x² - 2y²) dx dy

A: Given that a double integral we solve this integration by using general property of integration.…

Q: Evaluate the triple iterated integral. 2 xyz dx dy dz -1

A: We have to solve the triple integral.

Q: Use Green's Theorem to evaluate the integral 3x²y²dx + (5y³ – x³y²)dy, C

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Q: 2. Evaluate the integral using FTC Part 2. d e²-t st². t dt dx

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Q: evaluate the iterated integral.

A: ∫03∫-20x2y-2xy dy dx=∫03∫-20yx2-2x dy dx=∫03x2-2x dx∫-20y dy

Q: Evaluate the triple iterated integral. ..* 2 Xyz' dx dy dz -1

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Q: Evaluate the integral. e3t V2 + et dt =

A: We have to find the indefinite integral

Q: 2. Compute the integral dy dx by interchanging the order of integration.

A: Order of change of integrals

Q: Compute for the value of constant (C) by solving the given DE using integrable combination. Let x=1,…

A: Given xdy-ydx=4x4dx

Q: Evaluate the integral | t(sec t2)4 dt

A:

Q: Use the specified substitution to find or evaluate the integral.

A: Consider the provided integral, ∫01 dx23-xx+1 Evaluate the provided integral. ∫01…

Q: Evaluate the integral. integral t e -3t dt

A: Let given integral be - y = ∫t e-3tdtUsing by parts to integrate the above integral - ∫uv dx = u∫v…

Q: Find the product of the integral 1- S x²cos(xy)dxdy

A: We have to change order of integration first.

Q: Evaluate the integral dx (7x + 6)2 by making the appropriate substitution: u = dx (7x + 6)

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Q: Evaluate the iterated integral: dydx - 1/4 Jx2

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Q: Evaluate the iterated integra x2y dx dy o Jo

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Q: Compute the integral fo S x cos(xy)dxdy

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Q: dx 6. J Vx2-4x+13

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Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: 3. Evaluate the integrals. dx ( Use u = Vx(1+x)

A:

Q: Evaluate the integral. 2 | 7t sec -'t dt 2113 | 7t sec - 't dt = 2113 (Type an exact answer, using t…

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Q: Evaluate the iterated integral. (3x - 2y) dy dx 1 Jo

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Q: 2. Evaluate the integral: SSS teu du ds dt

A:

Q: The improper integral fx dx is

A: An improper integral is the limit of a definite integral as an endpoint of the interval of…

Q: Evaluate the iterated integral. [²] (x² - y²) dy dx

A: Given: I=∫-11∫-44x2-y2dydx   As we know that; The Power rule; ∫xndx=xn+1n+1+C

Q: Evaluate the line integralſ (x+2y) dx + x² dy, where C consists of line segment from (0, 0) to (2,…

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Q: c) Evaluate Ssin 3.xcos 4x dx by using integration by part.

A: Here we have to find            ∫ sin 3x cos 4x dx Integration by parts formula is          ∫ uvdx =…

Q: v) ₁ √√¹-x² sin(x² + y²) dzdydx fő

A: Given is  ∫01∫01-x2∫01sinx2+y2dzdydx In order to solve this integral it is needed to first convert…

Q: Evaluate the iterated integral. (x2 - 8y2) dx dy

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Q: fx'e*dx

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Q: fx'e* dx ets

A: To evaluate:                     ∫x2 ex3 dx

Q: Evaluate the integral 2x (x2 + 3)° dx using the substitution 6 u = x + 3. | 2.x (x² + 3)° dx +C II

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Q: e In (x le) (2- secx dx to be integrable using the formula - se What should be the value of A for u"…

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Q: evaluate the Cauchy principal value of the given improper integral. roo 1 dx 6x + 25 | roo x2 dx (x2…

A: The Cauchy principal values of the given improper integrals areevaluated as shown below.

Q: Use the specified substitution to find or evaluate the integral.

A:

Q: obtain a formula for any integral of the form (- a)* dz.

A: Given∫xb-1(cxb-d)kdx