Given the following integral S7. Vtan2(e) de

Q: Evaluate the following integral. e7 In (x?) xp- 2 In (x dx =(Type an integer or a simplified…

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Q: w'ew dw -1

A: Using integration by part's & definite integral.

Q: Evaluate the following integral. ∫ 2y2cos(9y)dy

A: We have to evaluate the integral ∫ 2y2cos(9y) d y

Q: Evaluate the following integral. JJ (xy + xz + yz) dV; D = {(x,y.z): - 25xs2, - 4sys4, -1szs1} JJI…

A: ∬∫Bf(x,y,z) dV = ∫rs∫cd∫ab f(x,y,z) dx dy dz                         where , B=a,b×c,d×r,s

Q: Use the appropriate substitution to evaluate the following integrals: e 3z+ ® 3e3a+4 + C e3x+4 + C B…

A: We will solve the integration.

Q: To evaluate the integral dz, we substitute z 4 tan 0. 22 + 16 Select one: a. None of these b. False…

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Q: O Evaluate the following integral 2dr J a (3(ln z)2 + 12 In r 15)

A: We need to evaluate the given integral

Q: . Evaluate the following integral: Sx² e* dx

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Q: When applying the Convolution Theorem to calculate L − 1 {6/s [(s + 10) 2 + 25]}, a suitable…

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Q: 1 dt (1+t?)/2

A: Use trigonometric substitution method to evaluate the integral ∫11+t232dt. Let t=tanu then find du.…

Q: Evaluate the following iterated integral. 2 16 15y dx dy 2.

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Q: NFind the integral p5 sin (1®) dt using the substitution u =: = ±6_

A: Let the given integral as : I=∫ t5sint6 dt Make substitution as u=t6 ⇒  du=6t5 dt The simplified…

Q: Evaluate the integral: S/2 Se S77/2 S¹² sin (=) dt du π/2

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Q: 1. Evaluate the following iterated integral. 16 4 dydr

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Q: If | h(s)ds = 21 and h(s)ds = 10.8 2 what does the following integral equal? | h(e)ds - [

A: If ∫-56hsds=21 and ∫-26hsds=10.8. Then we have to find the integral value of ∫-5-2hsds=?

Q: (c) / sa- (1² – y) dy 82y-3y

A: Solution:

Q: 1. Evaluate the following integral: S(t² + 3) cos(5t) dt

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Q: 20

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Q: Evaluate the following integral : Sx³ * n* dx

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Q: Compute the given integral. fcos¹ a a sin ædx = +C

A: Our Aim is to evaluate the integral given below:-∫cos7 (x) sin (x) dx -(i)

Q: S In² x dx

A: To evaluate the integral: ∫ln2x dx Solution: Integration by parts states that: ∫uv dx=u∫v dx-∫ddxu∫v…

Q: 9. S(bx + px?)dx

A:

Q: (t+ 3)² dt

A: We have to find the integral: ∫t+32t4dt Simplifying using identity a+b2=a2+2ab+b2,…

Q: Compute the given integral. rp: +C

A: Please refer the attached image for complete solution

Q: Evaluate the following integral 2dr (3(ln r)2 + 12 In z – 15) 15)

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Q: Evaluate the following integral: 1 dx + C (36 – a²2 )3/2 - AY

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Q: Evaluate Lhe follawing integral 2. +3) (os5t dt

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Q: Evaluate the following integral: S₁ S² == dydx −1 1 y

A: Given integration: ∫-14∫1ex2y dydx

Q: Evaluate the following integrals JJ (5. (5x³y²-y²) dA_R = {(x, y)| 0 ≤ x ≤ 2, 1 ≤ y ≤ 4} R 11.

A: Solve the following

Q: Evaluate the following integral a) º r16 1+ Vª dx

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Q: The evaluate the integral (1) is equal 13erf(t) dt

A: The function, erf(x) is defined as erf(x)=2π∫0xe-t2dt .

Q: Evaluate the following integral. S (2æe2") dx O xe2" - e2 +C O 2æe2m + e2 +C O xe2a +e2* +C O 2xe2"…

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Q: Evaluate the following definite integral e-(s-2)t sin(3t) dt. 2 3 (s+3)2 + 4 (s – 2)2 + 9 2. seçenek…

A: Using definition of Laplace transform

Q: 4.) s (a²-x²) ³/₂ dx

A: Let's solve given integral.

Q: S₁x² Sö 2 (a²-x²) ² dx

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Q: Consider the following integral. XV2 - x dx (a) Integrate by parts, letting dv = /2 - x dx. + C (b)…

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Q: - Find the value of the following integral: 1) fe et -e" dt e~st 0. 2) e-tdt 0.

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Q: Evaluate the following iterated integral. 7xy dx dy 00

A: Here in this double integral, X varies from 0 to 2 and y varies from 0 to 3

Q: dy V4y + 1

A:

Q: Evaluate the following definite integral e-(s-2)t, -(s-2)t sin(3t) dt. 3 2 (s – 2)2 + 9 (s – 3)2 + 4…

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Q: T/3 L, S, Srª yz tan xdxdzdy

A: follow the  next step

Q: 15. Evaluate the following double integral. Si (xy* + x)dydx

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Q: Find the following integral: 1 y-1 S S 2æy²dædy = O y? –1

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Q: Evaluate the following integral. T/6 T VI+ cos(6t) dt

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Q: Evaluate the following iterated integral. 29 12y dx dy

A: Follow next step

Q: Evaluate the following integral using Simpson's 1/3 rule, with n = 8 5 2.5 sin(1.5 x) + 1.22…

A: Given function is  f(x) = 2.5sin(1.5x) + 1.22cos(0.75x) + 1.75ex h = b - aN = 5 - 28 = 0.38

Q: Evaluate the following double integral 1 V- 2' (r° + y°)* dydr. -1 0

A: First we convert the integral into polar coordinate and then we solve the integral.

Q: -t/2 rsiny 1. Vi-x? dxdy V1-x²

A: I am going to solve the given problem by using some simple calculus to get the required result.