If fe F dr = Sc(x - 2y³) dx + (x²y) dy, what is F?

Q: d²y + 4y = x² sin 2x dx2

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Q: 3.b) Evaluate the DE * 3x(xy – 2) dx + (x³ + 2y)dy = 0

A: Given that: 3x(xy-2)dx+(x3+2y)dy=0

Q: 5 If [ f(x) dx = 18, then 5 (f(x) + 4) dx is equal to:

A: Using the properties of Integrals

Q: Find S(2r)dx if f(x)dx = 3. Enter the exact answer. f(2r)dx =

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Q: Let y=(f(x)+5x^2)^4 and suppose f(−1)=−4 and dy/dx=3 when x=−1. Find f'(−1).

A: Given y=fx+5x24 and suppose f-1=-4 and dydx=3 whenx=-1 , Find f'-1

Q: What is f P-(x)dx if the given DE is y(6y2 – x - 1)dx + 2xdy = 0?

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Q: 18 12 | f(2)dz – f(2)de = f(x)dx | f(x)dx 4 where a = and b =

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Q: dy EX-2- Find for the following functions: dx (x² + x )(x² – x +1) e) y= x² - 1 x² +x- 2 f ) y = -

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Q: | f(x)dx = 12 and f(x)dx =3.1, then J f(x)dx =

A: Use formulas of limits of integration

Q: Q4 Find dy for all of : dx 2- y = 3 x(x-2) x2 +1 1- y = xvInx

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Q: If fſ f (x)dx = 8, what would f f(x)dx equal?

A: Given, the definite integral gives result 8. Concept - when the limits of integration is changed…

Q: find the function y(x) satisfying dx/dy=5x ^(-6/7) and y(-1)=-2

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Q: What is the I.F of (2y^2+3x)dx+xydy=0?

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Q: If Sf(x)dx = 5, i f(x)dx = 2, and Sif(x) dx = -1, find f(x)dx. %3D %3D А.) -2 В.) 2 С.) -3 D.) 3

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Q: Q4 Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) %3D x²+1

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Q: Q3: van fy = xy-1+ x.ln(x) J f(x,y) = x' + y* if it was

A: To find the partial derivative

Q: Find f(x)dx if f(x)dx = –8 and / fx)dx = 5 f(x)dx = i

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Q: 4. If ( Inx dx = f(x)[In(x) + 1] + C, then f(1) = A 1 B D -1

A: Solution

Q: =Q3: if f(x)= xy+2x-5y =2 then dy/dx *

A: f(x)= xy+2x-5y =2 then dy/dx

Q: 5 f(x) dy = %3D

A: In this question we will use basic of calculus i.e concept of differentiation. We will simply…

Q: If y = 3x+2/x-2, evaluate dx/dy when x = 1

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Q: Q2: Find for the following functions: - dx 1) y = Vx + 8z – 2x X, -

A: Explanation and solutions is given below....

Q: dy Find for y = x(4x + 3) dx - |3

A: The function is given by y = x4x+313 To evaluate : dydx

Q: f cos 4x dx 2x dx S (x-2)²(x+2) x2 dx √4-x²

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Q: |(2 f(x)+3) dx=19 f(x)dx then equals?

A: ∫afx+bdx = a∫fxdx+∫bdx

Q: For y = 5x2 + 10x – 3, find dy at x = 2 if dx 0.1. -

A: The given function is  y=5x2+10x-3

Q: dy Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) x2+1

A: See the details solution in below

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

A: SOLUTION-

Q: If f(x)dx=10 and | (x)dx=3, then | f(4 – x)dx=? %3D

A: Given that: ∫-26f(x)dx=10 and ∫26f(x)dx=3

Q: ;F · dř = Sc(-5æ + 4y³) dx + (x³y) dy, what is F?

A: In this question, the concept of line integral is applied. Line Integral The function to be…

Q: Se f(z)dz = 0 t

A: Cauchy integral theorem states that If is analytic in some simply connected region R, then

Q: df Find and dx of dy 2 2 f(x,y) = /3x +4y?

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Q: -11 If " f(x)dx = 1 ; S,f()dx = 22 find f" fx)dx. Eiles

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Q: dy Find for dx 1 y=-=-72-8√x x

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Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

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Q: .5 If f(x)dx 4 and | f(x)dx =7, then f(x)dx = %3D

A: Answer is below

Q: Find the value of (x)) dx if f(x) dx=11 and f(x) dx=3.

A: here we have to find the integral vaule

Q: L, f(x)dx + [° f(x)dx = 5. Si f(x)dx – Sº f(x)dx = 4.

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Q: Find f(x)dxif 5 f(x)dx = -4 and f(x)dx = 8 f(x)dx = i

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Q: Find the second derivative of the function. x4 + 6 y = x2 a²y 36 O A. = 2 - dx2 d²y 36 OB. = 2+ 4 X…

A: We have to find the second derivative of the function: y=x4+6x2 Rewriting the function,…

Q: '5 If f(x) dx = 7.1 and f(x) dx = 5.6, find f(x) dx. %3D %3D

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Q: Suppose f(x)dx = 2 and f(x)dx = 1, and ſ, 3f (x)dx = -6 ,what is f(x)dx

A: The property of definite integration to be used for solving is: ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx where…

Q: Q3: if f(x)= xy+2x-5y =2 then * =dy/dx

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Q: If f(x) dx = 10 and F(x) dx = –7, find ſ* f(x) dxr. %3D relugte:

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Q: If f(x) dx = 33 and g(x) dx 14, find [4f(x) + 5g(x)] dx. P Type here to search

A: We have to find

Q: For y = 5x2 + 10x - 3, find dy at x 4 if dx 0. 1.

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Q: Q4 : Find dy /dx x2sinx Y = (1+x2)2V1+x

A: First take log to become easy differentiation and then diffrenciate.