4 – 8x4 Find an antiderivative for the function x2 Antiderivative =

Q: Find the general antiderivative of 4 2 + x3 f(x) = x³ + 6/ | + C

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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: Our objective is to find f.

Q: 2x3 + 11a? + x +9 x + 2 Given x2 +1 (2a3+ 11a2 + x+ 9 dx Evaluate (Don't forget to include the %3D…

A: use substitution method for solving the integral

Q: Find the most general antiderivative. 4.9 #6 f (x) = (x – 5)²

A: Please refer to the image below

Q: 2. Find the most general antiderivative. f(x) = x5 +3x/2+7+6x-2 + 3x-5/2 %3D

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Q: 2x³ is an antiderivative of what function? y = 6x² y = -6x² X y = y = - 2 X 2

A: 2x3 is an antiderivative of what function.

Q: By using variation of parameters answer the following for the DE: y''-y'-2y=4x^2  g) What is u2y2…

A: We have to find u2y2 using variation of parameter.

Q: 2x2 ノ ーイ<xLO X 16 X pected vabe of the flx) = り2Xと2 what is e vari able

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Q: prs. = y – x-2 = 0 x + 8y-2 = 0 board box without a lid is to have a volume nt of cardboard used.

A: fx,y=x2y2-8x+yxyfx,y=xy-8y+1x   fx=y-x-2=0 Also, fx=y-1x2 fy=x+8y-2=0   So,  fxx=2x3 fxy=1fyy=-16y-3

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

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Q: e5x 10) An antiderivative of eSx is +In 4 A. True B. False 5.

A: To find the correct option.

Q: Find the most general antiderivative. 2 4.9 #13 f (x)

A: The general antiderivative of f(x) is F(x)+C, where F is a differentiable function.

Q: sheet Undetermind Coefficient 2 Y +2Y+Y=x'e хе

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Q: Find the antiderivative of V1+ x² x³.

A: Our Aim is to find the antiderivative of 1+x2 x5.

Q: L[(t + 1)2e] = ? %3D s2-1 s2 +1 (s-1)2 (s – 1)2 -

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Q: Find the most general antiderivative. 4.9 #9 f (x) = V2

A: Antiderivative of f(x) is integration on both sides.

Q: f(x) %3D e 3.

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Q: 8. 8. f(x) dx = 37 and g(x) dx = 18, find [3f(x) + 5g(x)] dx. %3D %3D

A: We have to find the value of integral: ∫083 fx+5 gx dx if ∫08fx dx=37 and ∫08gx dx=18. Rewriting the…

Q: a) f xedx b) dx using the substitution of x- cost. 1-x sdx ing the substitution t=x+ 3. Evaluate xp…

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Q: The reaction R to the injection of a drug is related to the dosage x (in milligrams) according to…

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Q: What is the most ideal first step to be done here to eliminate the arbitrary constant/s? * 3X 4. -xy…

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Q: 3 z3 +6 x5 Find an antiderivative of in the variable z where a + 0. 76 Remember to include a "+ C"…

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Q: 6 – 7x7 - Find the most general antiderivative of f(x) x4 Answer: -(2)/(x^3)-(7)/(4)x^4 Σ

A: Given query is to find the antiderivative of the expression.

Q: nd the antiderivative x² + 2x -dr. (r² + 1)'

A: Put x2=t then integrate.

Q: 20 (i) E(13)* k=0 (ii) fºx'e-2= dx (iii) [ e-(z-13)²/8 dr

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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:

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

A: We havef''x=16x3+42x−1

Q: (b) lim y - 2 y→2 5 – V27 - y

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Q: | [10f(x) – g(x)]dx if Find 5 5 f(x)dx = 7 and g(x)dx = 6. %3D | [10f(x) – g(x)]dx = i

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Q: Which of the following is an antiderivative of 8x3? А. 2х4 + х В. 2х4 — х 3. С. 2(х4 — 1) D. 2x(x³ –…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: y" – 4y' = x2 By used Variation of Parameters Metho

A: Topic:- differential equations

Q: V1-x² 1-x²-y² e-3(x²+y²+z²)² dz dydx a) Evaluate

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

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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)=24x3-18x2+10xIntegrating it once, we getf'(x)=24x44-18x33+10x22+Cf'(x)=6x4-6x3+5x2+C

Q: dx 4. S хV25-х2 5+Vx2-25 + C а. 5+Vx2-25 b. In + C c. --In 5+v25-x2 + C с. 5 d. None of the above

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

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Q: 6 3x? + 3 Find the general antiderivative of f(x) - + C

A: From the given function: fx=-3x2+6x-3x5-4x As we know that; The expression to calculate the…

Q: Find dy. 3 y = x³ (15-47) dy = (Simplify your answer.)

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Q: .7 f(x)dx= 12 and f(x)dx = 3.1, then 5. If %3D

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Q: L²+R²x+²y=0 (Auxilary function)

A: Solution :

Q: Apply the Trapezoid method to the ODE x′ = −x + t√x for two steps with x(0) = 1 and h = 1/4. Show…

A: Given ODE is x'=x+tx Let f(x,t)=x+tx Also given initial condition is x(0)=1 and h=14 By Trapezoid…

Q: g) t(t-5)². i) (x-1) (x-2)(x-3). h) x (x²-4)². j) (y-6) (y-4) (y + 1).

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Q: x-2 6) Find the antiderivative: - (x+1)2+4

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Q: L(cosh 4t) = %3D s²+16 .b O s²-16 .C s2 – 4 I. .d O s2 - 8 SI

A: We will find Laplace transform of Cos hyperbolic function

Q: X1 + 2x2 – x3 = 3 5x1 – 2x2 = 2 -3x2+7x3% = 2 %3D e for the y's

A: Given,          0x1-3x2+7x3=2          x1+2x2-x3=3          5x1-2x2+0x3=2D=0-3712-15-200-3125-2=-69

Q: . lim 4y9 + V y--00 /y18 – 1

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Q: 3x + 6 Where is z(x) = continuous? %3D x4 9x2 -

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the antiderivative of x*(x+8)1/2

A: I=∫ xx+8dxPut x+8=u⇒x=8-udifferentiate w.r.t. xdx=duI=∫ (u-8)uduI=∫ uudu-∫ 8uduI=∫ u32du-8∫…

Q: 8. f(x) = (2x³ + 9x)³ 9. s(t) = (5ª +2)(t² – 1)3/2 %3D

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Q: Extended Power Rule Find the derivative of the followingfunctions.

A: Given:  37) f(x)=3x-938) y=4p339) g(t)=3t2+6t740) y=w4+5w2+ww241) g(t)=t3+3t2+tt342)…