Let f(x) = 2e". Find the most general antiderivative. F(x) :

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: Let y = V7 – x. %3D Find the differential dy when a = 4 and dx 0.3 Find the differential dy when x =…

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Q: + 8x2 + Vx dx

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Q: sec2 x dx sec2 x – 1 f.

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Q: Compute for the general antiderivatives of the functions 1. [2 sin x cos x dx 2. ſe2x dx

A: Given integrals, 1. ∫2sinx cosx dx2.∫e2xdx

Q: Inx dx, 2. Integrate (1) using the substitution u = In x (ii) using integration by parts.

A: Integration by substitutions and by parts

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

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Q: If y(x) : ,determine the antiderivative of y(x). (Do not include the constant C in your answer.)…

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Q: x In (x?) dx

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Q: Using u = 1 + t°, the limits of integration will change from t = 0 to u = and from t = 1 to u =

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Q: fas |(1+cos z)* dz

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

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Q: Find the particular antiderivative that satisfies the following conditions: dx/dt=8e^t−7;…

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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: Integrate f(æ, y) = e2=² + 2y² over the domain {(x, y) | æ² + y? < 3}

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Q: If f(x, y) = 3x² – 7y, then the total differential of ƒ at x = 1 and y = -2 is :

A: we need to find the total differential of the function  f(x,y) = 3x2 - 7y2 the total differential,…

Q: Given the function f(x,y) cos 2xーx3eY +āyン COS find te second partial olerivative fxy.

A: Let f(x,y) is the given function.Then  fx is the derivative of f with respect to x taking y as a…

Q: What is an antiderivative of ... x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1 А) в B)…

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

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Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted…

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Q: Select the correct antiderivative. dy 1. xp x² + 1 O In(x² + 1) + C 2x (x² + 1)² arctan x + C Inv x…

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Q: Find dydx? for f(x, y) = eXy

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Q: Find the general antiderivative of f and check your answer by differentiating:   f (x) = ex − 4 sin…

A: Find the general antiderivative of f and check your answer by differentiating:   f (x) = ex − 4 sin…

Q: 1 dx

A: According to the power rule the integral of a function f(x)=xn is given by: ∫xn dx=xn+1n+1+c…

Q: Let y= tanx .(a) Find the differential dy .(b) Evaluate  dy and ∆y if x= and π /4 and dx =-0.1.

A: Given function is (a) Differentiating with respect to x, we get

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: Let y = f(x), where f(x) = 3x+6/x+6 Find the differential of the function. dy =?

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Q: What is the integrating factor of the non-exact DE (4xy+3y² – x)dx+ x(x+2y)dy =0 2 A 2 © x²

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Q: Find the most general antiderivative of f(x) = 7e" – 8 sec? (x), where ř < x < 5.

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Q: Figure out these antiderivatives. S 6 tan(3k) dk 1 dx J (3x)2 +1 5х –dx (3x)2+1

A: NOTE: Refresh your page if you can't see any equations. . .............(1) substitute…

Q: Solve for the general solution of the given DE by using the integrating factors found by inspection.…

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Q: What is the integrating factor of the non- exact DE (4ху+ 3у?-х)dx+x\x+2y)dy %3D0 ?

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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: Find the general antiderivative of the given function. f(x)= sin (7y)+ cos (3y)

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Q: Find the general antiderivative: A) S 6x² + 3 dx = B) S sin(x) + 2 dx C) Sx^3 + 3* dx = D) Se* + 2*…

A: all Solution is given below.

Q: Determine the most general antiderivative:  f(x) = sec x tan x-2e^x

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Q: J (V - 1) dx as

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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 most general antiderivative of f(x)=6e^x+5 sec^2(x), where -pi/2

A: Please see the answer below

Q: Let y=3x^2  Find the change in y, Δy when x=5 and Δx=0.1    Find the differential dy when x=5 and…

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Q: Find the most general antiderivative of f(x) = sinh a + sin x.

A: Given that f(x)= sinhx + sinx. Find antidervative of this function f(x). We know that antidervative…

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

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Q: Find the following antiderivative. 10 dx V16 – 49x2 Do not include the constant "+C" in your answer.…

A: Solve the integration

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

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Q: e for the antiderivatives using proper

A: we have,   I=∫6x32-4x59x12-4dx

Q: e) f1a* +4)*dt

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Q: Find the antiderivatives |x In(x²) dx + sec? x dx CO X dx sin5

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Q: | V 2x dx J v2r

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