•5 | f(x) dx If 16 and f(x) dx = 3.1, find f(x) dx.

Q: xcosx Q2- Find for y dx x2+4

A: We use logarithmic differentiation

Q: 8-x²-y? 19. 'dz dx dy +y²

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Q: 14 | f(x)dx - f(x)dx 5 where a = and b

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Q: d -(3x² + 11)e¬ª at x = –1. dx Evaluate

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Q: Solve dy/ dx = x^2 + x for y(1) = 3.

A: Given that dy/dx = x2 + x, where y(1) = 3.

Q: dy Find the solution of 2ху + dx X. 2у-1

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

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Q: What is the value of f(x)dx; if ca+1 2 S* f(x)dx = ?

A: Integration

Q: dx 1.5- 2x-x e if y = r(In x)² . . fr'e* dx. 2 if y = csch-1 20. de 2x+2 dx. -2x+1

A: since you have posted question with multiple subpart s, As per our guideline we supposed to answer…

Q: Find the value of df-1/dx at x = f(a). f(x) = x 2 - 5x + 6; a = 5 1 1 10 1 15 O 5

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Q: [2 f(x)dx= 10 If then equals ?

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Q: Q3. Solve dy (x+3) dx S 3x, 0 3.

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Q: d²y Find the general solution for- dx² dx

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Q: Let ƒ(x) = x3 - 3x2 - 1, x>= 2. Find the value of dƒ -1/dx at the point x = -1 = ƒ(3).

A: We will need inverse function theorem. Statement of the theorem is:

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: So d e2x 0 e2-5 dx is equal to

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Q: 44 dy 2 y² + Ce リ4x+3x-2x?+4-x'dx

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Q: (b) Given [f(x)dx = 21 f (x)dx = 29, find the value of S. 25 (x)dx . and

A: ∫102f(x)dx=21∫107f(x)dx=29

Q: Evaluate: S+ 2v) d. ii. L i. S(- 1-x-e-* dx. -1 2

A: i.

Q: 8. Find when x = t3 -t and y = 4 –- t². dx'

A: Here, the given functions are: x=t3-t & y=4-t2⇒x'(t)=ddt(t3-t)=ddt(t3)-ddt(t)=3t2-1…

Q: S fAx)dx=10 and | f(x)dx=3, then (4 – x)dx=? -

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Q: If f(x)=3x^2 + 2y^2 =16 what is dy/dx?

A: Please see the answer below.

Q: What is the value of dy/dx at x = 4 of the function? x-5 y = 2x+1

A: Given                     y=x-52x+13 we know that…

Q: dx (x-2)V4x²-16 is equal to 2 - -1 + C 4 sec

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Q: Find the formula for df-1 /dx. f(x) = (1 – x)3 1 O A. 3x2/3 О В. 1-х1/3 Ос. -3(1- х)?

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Q: dy Suppose 9 x²– 2 ( 3 x³-2x+3) and y(1) = 3. dx What is y(2)?

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Q: What is the value of ∫k3 f(x) dx given that ∫313 f(x) dx=−3 and ∫13k f(x) dx=4?

A: Given:The integrated values

Q: = 2-x² and f'(2) dy when x = 1. dx 8. Let y f(1+ Ju), - 3.Find

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

A: ∫afx+bdx = a∫fxdx+∫bdx

Q: If f(x) dx = 3 and f(x) dx = 4 what is the value of %3D 5f(x) dx?

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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: 6+ | f(x) dx = 21 and g(x) dx = 14, find (3f (x) + 5g(x)] dx.

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Q: 2 /x_ e-x/4 dx, T20

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Q: - Trig Sub 1 dx V9 – x²

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Q: If f(x)=3^x x^3, what is dy/dx?

A: Solution: Here  f(x)=3xx3

Q: What is the general solution of dx? (1– 2e3 )2

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Q: 5 If f(x) dx = 37 and g(x) dx = 16, find [2f(x) + 3g(x)] dx.

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Q: dy Find for dx 1 y=-=-72-8√x x

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Q: Q4 (a) Evaluate by solving the work for (i) Só xe-*dx. -5 29-3x ·dx. x2-x-6 (ii)

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Q: If ƒ x Inx dx = x² In x – S f(x)dx, what is the value of , 4f (x)dx?

A: Integration is the process of finding the anti-derivative function of the given function.…

Q: dy Q2) Solve x – 2y = x³ cosec 2x dx

A: The above equation is a first order differential equation know as Leibin'z linear equation. The…

Q: .5 If f(x) dx 10 and f(x) dx = 3.1, find f(x) dx. Answer:

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Q: 3y dx + (2x³ + 6 In x) dy = 0 3x?y + 3.

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Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

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

A: topic - properties of integration

Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

A: Since you have posted a multiple question, we will solve the first question for you. If you want any…

Q: OUse the undetermined coefficient technique to solve d²y dy + 10 + 25y dx 14e-5x dx?

A: Consider the given function d2ydx2+10dydx+25y=14e-5x. Obtain the general solution of the given…

Q: 3 Differentiate the expression (x + y )" with respect to x. (Use D for 2). dx

A: