To find ∫x3(x4−15)7dx∫x3(x4−15)7dx, you would need to use u-substitution. What u could be used to find this antiderivative?

Q: Evaluate ff, x² In(y + 1) dA where R = [0,1] x [0,1].

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Q: (トタりナーそJ0 on メou sqo とてラメテ0 'hらトラメe 1(h8)3-9 4 トtト×ピーメピ(トタ)さーそ ト×-メと -(ドメ)きーモ

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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…

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

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Q: f (t) = 3e" cosh (In 2r -2t

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Q: 4 x2 + 4

A: We have to find out the antiderivative

Q: Find the specific antiderivative using the given information: 7x = (x),4 (5 – 2²) - h(1) = -5 h(x) =

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Q: Q2: Prove that: d csc-(InVx) dx -

A: The main objective is to prove ddxcsc-1lnx=-12xlnxlnx2-1. It is known that ddxcsc-1x=-1xx2-1.

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: For a non-negative integer n20, J,=| (In.x)" dx. Express J, in terms of J„- for n21. Hence, find J,.

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Q: dy Given a DE of dz 1-r-y using simple substitution, what must be your z? Ity Answer:

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Q: Calculate the 2 Root estimate for: 10 y+3xy=57 Using NR Method. (Xo =i

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A: Given: f''(x)=8 x3+ 54 x -1 We need to find f(x) For this we need to integrate f''(x) with respect…

Q: Sf(x)dと SgCx)dx, suppeat 9 Explain why SfC dx 7 goa) Counter ekample to やU8e a your claim .

A: Use substitute rule unless the integral can be simplified and directly evaluated. Counter example is…

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

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Q: Find the antiderivative x3/square root of 25+x2

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Q: Find the following antiderivatives. 49 – 2y dy 49 +1 (a)

A: Introduction: Evaluation of anti derivative is the main aim of indefinite integral. An anti…

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

A: Solve

Q: What is the antiderivative of 9x^2 times (1 + x^3)^1/2 ?

A: The given expression is,

Q: -3y(In x)' +3x* (In x) y' =0

A: First simplyfy the given differential equation.Then taking integral on both sides and solve it.

Q: Find the antiderivative x2cos(21x)

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Q: Find the antideviVative 2+x € ) =

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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…

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Q: What is the antiderivative of 2sec^2(x) + 3 ?

A: The antiderivative of the function means that the integration of the given function.The integration…

Q: dy Given a DE of dr 1-z-y using simple substitution, what must be your z? z+y Answer: ||

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Q: Vx2 - 64 dx

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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: Solve for t in B=Numerator x+y over the denominator t+z

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Q: Find the antiderivative 11x3e11(times x squared)

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

A: We first find the integral without limit using by parts Use these u and v in by parts formula

Q: 10. f(x) =-x2 +3x+ m, y 4-IOBI = 10CI %3D A(ABC) = ? B.

A: As per guidelines, we will solve first question poste. 10) Given fx=-x2+3x+m 4OB=OC

Q: Find the following antiderivative. far 5z + 7dx

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Q: Using appropriate substitution 1 dx V9x² – 36x + 37 Is equal to

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Q: If the substitution u= J2x+| iS used, then Só V2x+ī dx is equivalent to ?

A: Substitution will be done by the given variable

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

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Q: Chioma was asked to find (18x + 3)(6x° + 3x)° dx using u-substitution. How should Chioma define u?…

A: ∫(18x2 + 3)(6x3 + 3x)6dx We have to use u-substitution for the above function. To solve this, u is…

Q: Suppose y=ect where c cannot be equal to 0. If a is a given positive real number, when does y=a?

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Q: If f'cx)= gica) for 0LKLH, then fca)=9(x) for OLxel True or false?

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Q: 1 2х

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

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Q: integrate the following using the substitution 1.)  ∫ ?^5(9z^6-7)^8 dz 2.)∫(5 − 3?^7x)^1/3 e^-7x…

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Q: c) Evaluate [xV2–x? dx by using substitution method.

A: Integrate by substitutions

Q: Find the most general antiderivative, 3x 5 c 2. *) dx 7. 1 3x O A. e+e +C 3. B. 3x +5 e+C 74 OC. 7.…

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Q: - 7x)4 dx Using an appropriate substitution, evaluate: B

A: The given integral: I=∫x6-7x4 dx

Q: How do I find the antiderivative by using the power rule I reverse?

A: This can also be broken by using linearity as below

Q: What is the antiderivative of 4^x ?

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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…

Q: Find the most general antiderivative. 20) [(3x³ - 8x +2)dx

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