An appropriate substitution for 2x dx is V4 – x2

Q: Find in terms of x and y. dx2 x²y2 – 4x = 3 -2xy4 + 4xy² + 4 dy dx2 x

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Q: s dx x+√2x+1

A: Let  2x+1=u ⇒dudx=12x+1 ⇒dx=2x+1du also x=u2-12  ∫dxx+2x+1=2∫uu2+2u-1du…

Q: 2. dx (x+1)√x-3

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Q: Find for the following functions: - dx 3x2-4x+4 1) y = %3| Z

A: dydx is called the derivative of function y.Derivatives of polynomials are :→dxndx =…

Q: a. By differentiating x2 - y2 = 1 implicitly, show that dy/dx = x/y. b. Then show that d2y/dx2 =…

A: The given equation is

Q: III. Evaluate 4 - x -dx. V16 – x2

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

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Q: 1) f3x* dx +x dx 3) fxva² +I dx

A: We know that, ∫ xn dx = [( xn+1 )/( n+1 )] + C

Q: · 8 Find f(x) dx = 5 (5 f(x) – 6) dx 8, and

A: Given ∫211f(x)dx=5∫25f(x)dx=6∫811f(x)dx=4

Q: Suppose that f(x) dx = 2. Calculate (5f(x) + 4) dx-

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Q: Evaluate fcos-¹(x) dx

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Q: Evaluate fo (36 – z') (1 – 2*/3) v36² x2 dx -

A: Solution is here

Q: ,3 dx 3 Vx²-16

A: Given integral I=∫x3x2-163 dx

Q: evaluate using the appropriate method or combination of methods.

A: Factor the denominator

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

A: ∫09f(x)dx = 21   ∫09g(x)dx = 14∫093f(x) + 5g(x)dx = ?

Q: Evaluate the definite integral using the given values

A: Given: ∫26x3dx=320, ∫26x dx=16, ∫26dx=4 We have to evaluate ∫266x-18x3dx Solution:…

Q: By using completing the square dx can be written as V4 + 2x + x2 dx 3 +(x+2)2 dx V4+(x+2)² dx 3 +…

A: Given, ∫x4+2x+x2dx  We have to write it again using completing the square.

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

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Q: x(x²-x+2) dx is equal to 3

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Q: uate the integral. 9. (x2 + 2x – 5) dx 4.

A: Given query is to find the value of the integral.

Q: Find the particular Salisiles dy -2 = 5x dx + 6x1-1; y(1)= 3

A: Given : dydx = 5x-2 + 6x-1-1

Q: Q3. Find dt 4x – 2 dx x² + 20 4t

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Q: Integrate the function. 2 + 16 dx 2x2

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Q: Evaluate. (4x + 5x²) dx -2x dx 8. 9. dx 10. -5 for x 2

A: To evaluate: ∫-12(4x+5x2)dx Solution: We know, ∫xn=xn+1n+1+C    ..(1) Here, ∫-12(4x+5x2)dx On…

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: If f(x) dx 37 and (x) dx = 14, find [4f(х) + 69(х)] dx. %3D

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

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Q: 2х -1 dx 2 V3– x+x²

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Q: A. Evaluate Inx dx. 2x B. Evaluate [(7x-10)dy dx. 0 x?

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: dy evaluate dx X +5 If y = %3D 2 - 2x + 3 -

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Q: 9. If f(x) dx = 35 and g(x) dx 14, find | [3f(x) + 4g(x)] dx. %3D

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Q: Evaluate by any applicable method. 3 1 dx x2 –6x+10 4 None of the choices. Please refer to my…

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Q: 8. If f(x) dx 31 and %3D g(x) dx = = 14, find [3f(x) + 4g(x)] dx.

A: use given integral for finding the  value .

Q: (x) dx = 6 and f(x) dx = 10 , then +3] dx = %3D 2

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Q: By using appropiate substitution, solve dy hpT i. x2 dx 1 = xy – y² ii. – 2. (2х + у)е2»+у | dx

A: Consider the provided question, (b) (i)

Q: A) Evaluate 1 dx. I vit 6x – x² -

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: Find p, q if " f(x) dx – f(x) dx = [,' f(x) dx. %3D

A: Given,            ∫215fxdx-∫29fxdx=∫pqfxdx

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

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Q: 8. If f(x) dx = 10 and f(x) dx = 3.7, find %3D f(x) dx. Answer:

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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: Match the options below: (2ху-Зу) dx+(x^2-х)dy-0

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Q: By using completing the square dx can be written as /4 + 2x + x2 dx 4+(x+2)² dx V3 + (x+2)² dx V3+…

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Q: Find the antiderivate of dx/(x2+4)3/2

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Q: 3x + 1 dx 28. V4 – x2 -

A: Formula used : ∫dx1-x2=arcsin(x)+c

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

A: topic - properties of integration

Q: x2 — х + 36 dx х3 + 6х

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Q: Find the GS of: (x- 2y) dx +2 (y-x) dy = 0, %3D

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Q: to use absolut 5n dx (x- 1)(x2 + 4)

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

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