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## Related Calculus Q&A

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Q:Ā dx 2+ Vx-4

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

Q:Ā d (e) -[3r + 2n*) = 15x* + 873 %3D dx

A:Ā Click to see the answer

Q:Ā Ń 2 ā Š±Ń + 9 dx Š£Š±Ń ā Ń 2

A:Ā Click to see the answer

Q:Ā dx (x2 - 169) 3/2 *> 13

A:Ā Use the trigonometric substitution and simplify the integration than solve it.

Q:Ā Vx2 (b) / 4 dx; x > 2. x2

A:Ā To find out the integration.

Q:Ā 2x-5 dx 73

A:Ā Click to see the answer

Q:Ā 1 dx /9xĀ² + 4

A:Ā Click to see the answer

Q:Ā [(2x -1)3ā x )dx = + 8. 0 3.

A:Ā Click to see the answer

Q:Ā 1 dx 4x 12 /-

A:Ā OurĀ AimĀ isĀ toĀ integrateĀ ā«2314xdxĀ -(i)

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Q:Ā (ć”+4) dx x2 + 2x+5

A:Ā Integration is summation of discrete data. The integral is calculated for the functions to findā¦

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Q:Ā 2x dx (x*-16)

A:Ā Click to see the answer

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Q:Ā ćÆć”- 2 dx +2x +17

A:Ā GivenĀ thatĀ ā«033x-2x2+2x+17dxSolutionĀ :Ā putĀ 3x-2=Addxx2+2x+17+B3x-2=A2x+2+Bputā¦

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Q:Ā dx 4. 8 + 2r2

A:Ā The solution of the problem is given in the next step.

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Q:Ā 2 X 1 dx -2 4

A:Ā Let's see a formula of integration. ā«a2-x2Ā dxĀ =Ā x2a2-x2Ā +Ā a22sin-1xaĀ +Ā C We use this formula toā¦

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Q:Ā 8. fx(1+x)Ā²/Ā³ d dx 2/3

A:Ā SOLUTION-

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Q:Ā [2x] dx -1

A:Ā If givenĀ Integral can be solved using fundamental theorem of calculus.

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Q:Ā 6. dx (x2 + 2x + 2)Ā²

A:Ā Click to see the answer

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Q:Ā ć”ć”ć¼ć dx ćć” 2x+3

A:Ā Click to see the answer

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Q:Ā -4 6. |a + 3|dx ā 1)Ā³ydy -1

A:Ā Click to see the answer

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Q:Ā äŗ 2x - 7 dx x* +9 5.

A:Ā the given integral is: ā«2x-7x2+9dx we have to evaluate the given integral.

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Q:Ā Evalvate 5x-12 X (xĀ²+4) dx

A:Ā Click to see the answer

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Q:Ā - dx xĀ² +16

A:Ā Topic:- Integration

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Q:Ā dx 3 (2ćŗ-4x-1

A:Ā Here we substitution method to solve this integration

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Q:Ā dx 2x -1

A:Ā Click to see the answer

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Q:Ā 7 x'dx 2

A:Ā Click to see the answer

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Q:Ā Evaluate the integral.

A:Ā Consider the following integral:ā¦

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Q:Ā 2 dx 8x + 9

A:Ā To find the value of given integrationĀ We use some basic results of integration and substitution

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Q:Ā 3 9x + 4x -dx- 4 9 + 4r

A:Ā Click to see the answer

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Q:Ā 1 dx xVxĀ² ā 9

A:Ā Click to see the answer

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Q:Ā dx 4. Jćć-6x+13

A:Ā 4. Given integral:

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Q:Ā 2x -edy+alye -x) dx

A:Ā Click to see the answer

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Q:Ā 2x dx 67. 4

A:Ā ā«xnĀ dxĀ =Ā xn+1n+1+C ā«f(x)Ā Ā±Ā g(x)Ā dxĀ =Ā ā«f(x)Ā dxĀ Ā±ā«g(x)Ā dx ā«aĀ f(x)Ā dxĀ =aā«f(x)Ā dx

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Q:Ā (2x2-x+6)dx (Ń 2āŃ -2))

A:Ā Click to see the answer

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Q:Ā VxĀ² - 2x + 3 dx

A:Ā Click to see the answer

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Q:Ā |x + 2| dx -4

A:Ā Click to see the answer

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Q:Ā 3xĀ² + 2x t 3 dx ćØ 20

A:Ā Click to see the answer

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Q:Ā -3 12 dx /5x+1

A:Ā Basic rules of integration are required.

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Q:Ā 20 dx -1 ŠŠµ2Ń

A:Ā Click to see the answer

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Q:Ā dx 9. (4-xĀ²)3/2

A:Ā Solution 9.ā«dx(4-x2)32

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Q:Ā -7 dx Vx-9 3

A:Ā Click to see the answer

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Q:Ā Vx - 2 dx 5 x + 1)

A:Ā Click to see the answer

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Q:Ā -2//3 dx 28. xVxĀ² ā 1

A:Ā Solve this question by the substitution method: also you will need this in future:

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Q:Ā 2 dx xVx Ā² -1

A:Ā WeĀ knowĀ thatĀ theĀ ddxarcĀ secx=1xx2-1thenā«1xx2-1dx=arcĀ secx

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Q:Ā dx 3+5x 2.

A:Ā Click to see the answer

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Q:Ā +ć§-4 dx x2 +2

A:Ā Click to see the answer

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Q:Ā dx 1. V1-4x 1ā 4xĀ²

A:Ā Click to see the answer

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Q:Ā -10 dx - 25 XVx2

A:Ā we have to find integration

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Q:Ā dx (1+8x) 2

A:Ā Click to see the answer

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Q:Ā -2 Ń 6. dx 1-x

A:Ā Topic = Integration useĀ ā«1xdx=lnx+ClnxāxĀ isĀ NOTĀ definedĀ forĀ negativeĀ valuesĀ ofĀ theĀ independentā¦