dx S (x+2)Vx+11

Q: Find the most general antiderivative. dx x2 2x + C V 3x + C O 2V 2x- + C

A: Given integration is : ∫xx+xx2dx  To find the value of the integration.

Q: 2x2 +4 Find the general antiderivative of f (x) =sin (x) + x²

A: Antiderivative is another name for integration of f. Therefore to find the anti derivative of f we…

Q: The integrating factor of + 2.xy= 5x² is dx dy а. b. x2 e 2 C. 1 d. et

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Q: Find the antiderivative F(x) that satisfies the given condition. dF dx = 4e* + 4x²; F(0) = -5

A: Given query is to solve the differential equation.

Q: Find an antiderivative F(x) with F ′(x) = f(x) and F(0) = 0. Is there only one possible solution?.…

A: Given, F'x =fx  fx = 2+4x+5x2   We have to find Fx

Q: Determine dy for y=VX2+1 . dx2 alx

A: Obtain the second derivative as follows.

Q: the most general antiderivative function Find f(e) Sx-4+3x %3D t has

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Q: Find the particular antiderivative that satisfies the following conditions: dy/dx = 6x^(-2) +…

A: detailed solution is given below

Q: 1. S(3 – 2x – x*) dx

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Q: Find the particular antiderivative that satisfies the following conditions:…

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Q: 1. Find the antiderivative a) S(eš* – ) dx b) Se-4*dx c) S Vx(2 + x²) dx d) S-2xe10 - x² dx e) S…

A: (a) Given that,

Q: dxdy Vy X'

A: Given: ∫01∫yy21y2-x2dxdy

Q: dx is 2/x – Sin|/x +s|+c. Vx +5 The antiderivativeof | - A True B) False

A: To find the antiderivative of the function

Q: 1 4x2 dx X.

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Q: The integrating factor of dx dy 2 y= 3x² is а. b. 1 x С. d. 1

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Q: Find the most general antiderivative for the function dy/dx =7ex +3. Antiderivative = ........... +…

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Q: If x =0.71 and y = 0.67, then value of C in the xsin-(x) V1-x² antiderivative of F(x) = is

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Q: Determine the antiderivatives of the following functions: 1. V1-4x² dx 12 2. 1+9x² dx 3. 4+(x-3)² dx

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Q: Use either integration by substitution or integration by parts as needed to evaluate S³= A B x²+1…

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Q: What is the antiderivative of e^(x/5)?

A: Given:

Q: | sec 5x dx

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Q: Figure out these antiderivatives. S dx /1-х2 arctan(x) dx 1+x? ( In(x))* dx 2x

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Q: Vx +1 dx x + 2 (b)

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Q: Compute for the general antiderivatives of the functions 1. S(x – 2)? dx 2. S(2x + 3)³ dx 3. [ sin…

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Q: x* )!' dx + ی 3 4 11

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Q: Find the most general antiderivative. 1. dx 10 3 .3

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: of

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Q: Evaluate xe dx (x + 1)² using integration by parts. [Hint: f(x) = xe“, g(x) = (x +

A: ∫xex(x+1)2dx

Q: 2х + 1 dx x2 + x

A: Concept : ∫1tdt =ln(t) +c ,where c is constant ; d(xm)dx= m.xm-1 ∫2x+1x2+xdx =? here we can solve…

Q: dy dx || X x² + 100

A: We have given differential equation  dydx=xx2+100 dy=xx2+100dx Integrating both sides…

Q: Find the following antiderivatives. a. ∫(3x^4-cosx)dx b. ∫(5^3sqrt(x^2) + 2x-1)dx c.…

A: ∫xn dx = xn+1n+1+C. ∫ax dx = axloga+C

Q: Find the total differential. z = 6x1°y8 dz =

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Q: dy _ 2y = x-'y¯1 y(1)= 3 dx

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Q: find given f (x, y) = e² + 2xy² – 4y at (0,3) af dy'

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Q: €x2 + 5х + C) dx %3D Зх + 5

A: Given: ∫32x2+5x+Cdx=3x+5

Q: Find the particular antiderivative that satisfies the following conditions: dy 4x-2 + 2x-1 – 7; dx…

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Q: To integrate x3 ex2 x " 0x we apply integration by parts and in the form u dv, dv is set as:

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Q: Find the particular antiderivative that satisfies the following conditions: dy 4x-2 + 2x-1 - 7; dx…

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Q: Dy/dx = 2/x^2 Find the antiderivative.

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Q: (9x² + y – 1) dx – (4y – x) dy = 0, y(1) = 0 - ben valor nuulo

A: Ffddhfjc

Q: dx - is 2/x - Sin| x +s|+c. Vx +5 The antiderivativeof - A) True B False

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Q: Find the specific antiderivative that satisfies the following conditions: dy = 3x dx -2 + 6x - 7;…

A: Given Data: Differential equation: dydx=3x-2+6x-1-7 ......(1) Condition: y(1)=8   The antiderivative…

Q: The antiderivative of [Vx-25 dx is V x2 - 25 - sec-x+ C. A True B False

A: Given: I=∫x2-25xdx     As we know from the trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: Find the antiderivative of (ex − e−x)/(ex + e−x)9/2

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Q: xsin-1(x) is If x =0.1 and y = 0.11, then value of C in the antiderivative of F(x) = V1- x?

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Q: The antiderivative of [Vx²-25 dx is x2 – 25 – sec-lx+ C. A True B) False

A: ∫x2-25xdx

Q: | V 2x dx J v2r

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Q: dy Given y = vx² – 5x, evaluate using delta process. - dx

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Q: Find dy/dx by the implicet differentiasion x2+y2=64

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