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

Q: Find two antiderivatives of f (x) = cos x. Then determine the general antiderivative.

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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: Reducible to Exact (2xy ln y)dx+(x2+y2√y2+1)dy=0 Have to be convert to exact by integration method

A: Given  Differntial equation (2xy ln y)dx+(x2+y2√y2+1)dy=0

Q: If sin(x) f(x)= 68+t2 dt Jtan(x) and g(y)= f(x) dx , Then g) is equal to

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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: the linear approximation for f(x,y) = sqrt (y+cos^2 x) at (0,35) is ?

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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: dy=(0.5x- 3) Co 3)° dx

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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: 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: Let y = 3x² + 3x + 4. ind the differential dy when x = 4 and dx = 0.4 ind the differential dy when x…

A: Given query is to find differential at given point.

Q: Find a homogeneous (linear) DE with a following FSS: y1(x) := 1; y2(x) := sin(5x); y3(x) := cos(5x)

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Q: Q6. Using Rule l-IV to find an integrating factors. (x² + y² + x)dx + xydy = 0.

A: Given- x2+y2+xdx+xydy=0 To Find- The integrating factor of the above differential equation.

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

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Q: What is the integrating factor of y (x² + y) dx + x (x2 - 2y) dy = 0? -1

A: We will find out the required integrating factor.

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

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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: The linear approximation at x = 0 to sin(2x) is A + Bx where A is: and where B is:

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Q: 3. x cos x dx

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Q: of

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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: 11) Find the antiderivative: f -3+6√x³ √√x dx

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

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Q: xy' + y = sin(x), y(3) = 0, y'(3) = 0. Yh = C1x + c2x ln(x).

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Q: xydx – (x² + 2y²)dy = 0 ||

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Q: Eliminate the arbritrary constant/s. Show full solution. x= -In t, y= at + bt?

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Q: Use the method discussed under "Integrating Factor found by Inspection". (x² + y² + 1)dx + x(x –…

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Q: 1. Find the general antiderivative. A. S 5x8 4x4 + 10x3 – x² – 9x + 15 dx В. /2 - cos x + sec x ·…

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Q: 10. Find the most general antiderivative; verify your answer by differentiation. 5-4x 2x" b) f(x)…

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Q: (tiy t 3y" -x)dn + x (x+ Jdy = 0 2

A: Given differential equation is  4xy+3y2-xdx+xx+2ydy=0 find the general solution of the given DE

Q: find the general selution of the differential equetion by the fimear methodi sxy'-2y=x

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Q: b) f(x): 1 + sec2

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

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Q: The linear approximation at x = 0 to sin (7x) is A + Bx where A is: and where B is:

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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: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

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Q: approximation of I = [" f(x)dx using composite Simpson's rule with n=4 is:

A: In this question, we evaluate the definite integral by using the composite Simpson's rule for n=4.

Q: (2у — Зx)dx + xdy 3D 0

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Q: x- y arctan (2) dx + x arctan () dy = 0

A: Given:  The given equation is    [x-y arctanyx)]dx+x arctan(yx)dy=0

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: Change the order of integration. "A/2 x + 1 3 sin(x) dy dx

A: Consider the graph:

Q: 7. Given y = sinh(e* +tan (2x)-cos (x+1). Consider | dy (i) et 1 dx 1+e2x 1+4x 1-(x+1) dy (ii) ex 1…

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Pydx + x(2 + x²y) dy = 0

A: Topic:- differential equations

Q: The linear approximation at x = 0 to sin(7x) is A + Bx where A is: and where B is:

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Q: dx o ex+x е. f. S sin(vE) dt S dx 2x cos(vE) dt COS g. dx 'x

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Q: Solve the differential equatic y' = (x + y + 2)², Chart Area y(0) = 2 by setting u = x + y + 2.

A: y'=x+y+22let u=x+y+2     u'=1+y'     y'=u'-1

Q: Find the most general antiderivative of f(x) = sin x cos x .

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Q: What is an antiderivative of x+2 ? x²+1 x + arctan x – 5 2x + 3 x + arccot x x + 2arctan x + 1

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