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Q: Find the general antiderivative. If the substitution method is used, state first u, du and [Au)du.

A: Find the antiderivative i.e integration using substitution method Step 1 let's u Step 2 differential…

Q: 14. Which of the following has ex³-¹as an antiderivative? A. x²x¹-1 B. 3x²x³-1 C. 3xe*¹-1 D. xex -1

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Q: Find the most general antiderivative of the following. g(t) = (6+t+t2 ) / 2

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Q: us the defihition of darivatives Ves to fihd f(%) where f 6)=taly

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Q: The antiderivative of y= +5 is O 2/x+5x+c none of these O 2/x+5 O 2/x-5x+c 15

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Q: We are given that G(x) is an antiderivative of g(x), G(23)=39, and 23 |g(z) dr = 95 %3D 50 What is…

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Q: - Find the antiderivative of 5inxIn5cosx. a. 5cosx + 3 c. 5sinx In 5 b. 5sinx – 2 d. 5sinx -+7 In 5

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Q: 12. Evaluate the following: (b) (a) V1- dz 13 V16 – z dz

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Q: y T R 3 U Ox = 3; y = v9 Ox = 27; y = 9v10 Ox = 3; y = 3v27 O x = 27; y = 3V90 O Type here to search

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Q: ind on expresion foxe the Vecesn pield Fo <n-y ,Y-u 7 im feame <n-y ,Y-n 7 ( in t] dong the nit…

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Q: b - -x"+xP +C· What is the value of the sum a+b+d+m+n +p? a d The general antiderivative of ( 3,x2–…

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Q: Find an antiderivative of 9 x³ +6 25 26 Antiderivative = in the variable where x > 0. Remember to…

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Q: 54. dr 4 - x* – a

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Q: Find the general antiderivative of f Cx) = 7x end check the Lons answer by differentiating.

A: Here we have to find the antiderivative of the given function and check with yhe help…

Q: [38] Evaluate f, 40yds where S is the portion of y=3x2+3z2 that lies behind y=6.

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Q: In r e) I/1+ (In z)² dr

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Q: f(x) = 2x – 5 Vx - 4 f(1) 3 2 t

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Q: What is the antiderivative of t (x)=9/ x−4−9ex −6x2  ?  (Do not include the constant C in your…

A: We have o find antiderivative of  t(x).t(x) is given by:

Q: 2) find a general salation you t 4y! + CTT? +4)1 3D 2. B

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Q: f(z) dz where a inside r= Z-a 2ni O 2nif(a) O 10

A: Using Cauchy integral Formula:

Q: Find the general antiderivative of f (x) 25x-315 and check the answer by differentiating. %3D

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Q: What is the antiderivative of t(x) = –9sin (x + 6) – 6sec2 (x +3) + 9. ? 4 (Do not include the…

A: Solve

Q: y = 2teat²+bt+c y = t°e? y = (at³ – 3bt)² y = In(ax)e²x

A: As per our guidelines we need to solve only three sub parts. Please repost the remaining subparts as…

Q: Find the antiderivative of g(t) = 2t2 t3+1

A: Topic:- integration

Q: Comsder the qunchion g: [-3, 0) to R dezined! by gex = (x+3)?+s 'Fnd y guny pl and thoding its…

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Q: a. Test Ho: of = ož against H1: of ož.Usea = .05. %3D %3D

A: 4. a. The sample standard deviation for sample 1 is obtained by using the Excel formula…

Q: The particular salution Por y= -3y-4y + + l1t+15 iss 8 -2e-3t +4 where y Sy +by + 3 et 156=20 O -2e…

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Q: 1. 3 de

A: Given integral,         ∫3 dx

Q: Find the most general antiderivative. 3t*-t³+6t2 4.9 #14 f (t) t4

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: What is the antiderivative of q(x) = 2e²+5 – 3sec2 (x – 1)? (Do not include the constant C in your…

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Q: Campute the improper in hegnel S, xe

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Q: evaluate using the appropriate method or combination of methods.

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Q: b. d xP +C. What is the value of the sum a The general antiderivative of (3x2-4) 2x2 can be written…

A: ∫(3x2-4)2x2dx=∫(9x6-24x4+16x2)dx                             =97x7-245x5+163x3+c

Q: dx The antiderivativeof |- - 5ln +C. x +5 (A True B) False

A: To find if the given antiderivative is correct or not.

Q: Find the antiderivative given below. + 4x- 3) dr Answer:

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Q: fined the conter, fuci,vedices and ecentrici ty for fhe folowing equetins! I x+uy-4x -8y +4=0…

A: Let us consider the equation of ellipse (x-h)2a2+y-k2b2=1 Center is (h, k) vertices is h±a,k Foci…

Q: z6 dz z7 + 3

A: Integration

Q: 14. Find the following antiderivatives: (i) ✓ √ √r(5x² + 3) dr

A: The objective is to integrate the function x5x2+3dx The formula for integration is   ∫xndx=xn+1n+1+c

Q: Find the particular antiderivative that satisfies the following conditions: R' (x) = 4 – 8x; R(0) =…

A: Solve the differential equation using initial value.

Q: Evaluate II ze*+dV where B is the box determined by 0 <<3,0 < y< 4, and 0 < z< 2. The value is

A: Given: ∫∫∫Bzex+ydV0≤≤3,0≤y≤4,0≤z≤2

Q: %3D 11. If mNJ = 170°, mMK = (5x + 8)°, and m/MLK = (4x + 3)°, find ZMLK. %3D %3D N M K J 11)° find

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

Q: nswer the following Truê ôr False! f(r) is an antiderivative of v(E), then f(x) + 8 is an…

A: We have to check the following

Q: Find the most general antiderivative. dy A В c) 8 +C D

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Q: (2) Find the most general antiderivative. 910) - (2) 3t est + 5et g(t) : e2t

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Q: What is the antiderivative of t(x)=−7/x+3− 16x3 ? (Do not include the constant C in your answer.)

A: Consider the given function

Q: 3cott csc? 3tdt 5. (4+3®t3t

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Q: general salutioO of the second order homageneous 19uation betow b4the method of hange of farametcrs…

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Q: Find the following antiderivative: 5æ(-2² +5)° dz Provide your answer below:

A: We have to find solution

Q: Determine the antiderivative given above, Do not include the constant "+C" in your answer.

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Q: What is the antiderivative of  r(x)=−6ex+6 ?  (Do not include the constant C in your answer.)

A: The antiderivative of  r(x)=−6ex+6 = integral of r(x).dxPlease see the whiteboard for subsequent…

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.