Die integraal dx kan bereken word deur die substitusie u = x. The integral ) dx can be evaluated by using the substitution u = x. O True False Reset Selection

Q: The region of integration in the integral 2x So So a f (x, y)dydx is rectangle Select one: True…

A: The region of Integration in the integration in the integral  ∫02 ∫02x F(x,y) dyd2  is a rectangle…

Q: Use integration tables to find or evaluate the integral.

A: We have to evaluate the integral: ∫x4+5x2dx Assuming, t=4+5xx=t-45 Differentiating,…

Q: Consider the integral /æ* In(x) dæ: Applying the integration by parts technique, let u = and dv dx -…

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Q: Sketch the region of integration and evaluate the integral: Hint: sin²(z) = (1 - cos(2x)) esin(x)…

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Q: Use integration by parts to evaluate the integral: In(s)ds

A: Given, To Evaluate

Q: Calculate the iterated integral. dx

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

Q: Evaluate the iterated integral by choosing the order of integration. v3 (2 3y arctan dy dx

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Q: Evaluate the Type I Improper Integral: re" da.

A: The Type I Improper integral ∫-∞0xexdx can be written as ∫-∞0xexdx=limn→-∞∫n0xexdx

Q: Evaluate the integral. In(Vx) dx

A: Solution:

Q: 14 Find the integrals using integration by parts. b. JF In /rdx In a. fx(x + 4)°dx c. fr'e"dx d.…

A: Just multiply by 1and go ahead.

Q: change the cartesian integral in an equvalant polor integral then evalute 2x-x² 1 the polor integral…

A: To change cartesian equation into polar, we use following substitutions x=r cosθy=r sinθdydx=r dr dθ

Q: use integration by parts to establish the reductionformula.

A: Integration by part formula: ∫uvdx=u∫vdx-∫u'∫vdxdx

Q: Evaluate the iterated triple integral II" -dx dz dy .

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Q: Verify Green's Theorem by evaluating both integrals aN dA |v² dx + - x² dy ax ду for the given path.…

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Q: 3. Evaluate the improper integral: dx | Tale + 1)'

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Q: Assuming that f(x, y) is an integrable function, which of the two cross-sections would you choose to…

A: As per the question we are given a 2d region of integration defined as the area bounded by : y = ex…

Q: S Vtan x sec“(x)dx Evaluate the integral a

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: B:Reverse the order of integration, then evaluate the following integral: ex dydx + dydx

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Q: S. v cos (x*) dx dy

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Q: Find the complete integral of 1 dz z dx 1 dz z dxz 1 dz =x1 X2 X3. Exe z

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Q: Use Composite Simpson's rule with h = 0.25 to approximate the value of the improper integral dx.

A: ∫01exxdx  using composite simpson's rule with h=0.25

Q: dx Ied x+l

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Q: Evaluate the improper integral if it exists 1 dx: .1 2/2 .2 .3 The improper integral diverges .4 2.

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Q: Evaluate the integral by changing the order of integration in an appropriate way. ₁x² 3xzę zy² dy dx…

A: In this question, the concept of Triple Integral is applied. Triple Integral Triple integrals are…

Q: Evaluate the double integral.18. , D is bounded by y = x, y = x3, x ≥ 0

A: To evaluate the double integral. Given that  D is bounded by y = x, y = x3, x ≥ 0. We can define…

Q: Sketch the region of integration dy dx In y and evaluate the integral.

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Q: a) Change the order of integration in the iterated integral 1 dydz. 1+ y? Do not evaluate the…

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

Q: Evaluate triple integral ſ´, S,2 ¯* dz dx dy .

A: We can solve this as follows:

Q: 2- Évaluer les intégrales suivantes: XVX+5x x² a- - 1*√x dx 2- Evaluate the following integrals: In…

A: Given that the integral  a) ∫xx+5xx2dx b) ∫0ln2e2x1+e2xdx The objective is to evaluate the integral.…

Q: 1. Evaluate the integral by reversing the order of integration. re dy dr.

A: we only solve one question at a time. Please send these questions separately which you want to be…

Q: Consider the integral x' In(x) dx: Applying the integration by parts technique, let u = | In(x) and…

A: We need to integrate the function: I  =  ∫x7 ln(x) dx We will use integrating by parts i.e ∫fg' = fg…

Q: 2.. Evaluate the double integral: So So VVT (Hint: Change the order of integration to dy dr.) -…

A: Let us consider the double integral ∫ab∫f(x)g(x)F(x,y)dydx The change of order of integration is…

Q: Duse ROmberg integration to coMpute Ic3,1) for the following integral lo5 v? In X dx 1 X uL xX

A: The objective here is to find

Q: write A2 as a double integral over variables (x,y). then evaluate A.

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Q: Evaluate the integral dx using Weddle's rule. o e-1

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Q: (i) Change the order of integration in the integral. Wi-x dx dy and hence evaluate.

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

Q: To evaluate the integral -dx by Integration by Parts, the convenient choice is (1+ x)" a. u= (1+x)",…

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Q: What is the antiderivative of the integrand dx ? 2e*

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Q: 3. Can you evaluate the integral dx x In x dx by applying integration by parts, where u = and dv = ?…

A: Our Aim is to evaluate the integral given below:-I=∫dxx ln (x)-(i)

Q: 6 dx Evaluate the integral Vr? +4

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Q: Calculate the iterated integral. ds dt

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Q: 1 dydx VE yª + 1 Evaluate the double integral by reversing the order of integration

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Q: Evaluate the integral dydz. Va (y+1)/2 [Hint: Reverse the order of the integration.] Select one:

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Q: 2- Évaluer les intégrales suivantes: a = √ x√x + 5 x ₁² dx x2 2- Evaluate the following integrals:…

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Q: Consider the integral a* In(x) dx: Applying the integration by parts technique, let и — and dv dx…

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Q: Evaluate the integral by reversing the order of integration. So Soy e dædy =

A: Given: ∫01∫8y8ex2dxdy

Q: I need to evaluate the integral by reversing the order of itegration

A: Given,

Q: .Use integration by parts to evaluate the integral. In(z) dz = z2

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Q: Change the order of integration, then evaluate the iterated double integral. 4e dydx

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Q: (ii) Calculate the iterated integral by first reversing the order of integration. S. St yer² 0 Vy x3…

A: Given double integration ∫01∫y1 y ex2x3  dx dy