9. dx over [-6, 6] 9+x?

Q: Evaluate the integral 3. 2х dx х2 — 4

A: Will use substitution to find this integral. Substitute x square - 4 is equal to t.

Q: Evaluate the integral. 停。 2 - 4 dx 8

A:

Q: +1 dx. (x+3:2-5)3

A: To evaluate  ∫x2+1x3+3x-53dx

Q: 3 2 dx . 3

A:

Q: Evaluate the integral x dx. -4 3 |x| dx =] -4

A:

Q: Differentiate the following function. y = 3 In x + In 4 d -(3 In x + In 4) = | dx

A: If you like the solution then please give it a thumbs up.... The Answer is:           Result :    3…

Q: evaluate integral of (6x^1/2 + 6x^2)dx from 4 to 9

A:

Q: Evaluate the integral. dx =, x>6 x - 36 dx x²x - 36

A:

Q: Evaluate the integral. 5x dx -5x 5x e

A: Given,  ∫5x e-5xdx

Q: Evaluate the definite integral. 3 12(In x)3 dx 3 12(In x)3 dx

A: Given,  The definite integral  ∫1312ln x3xdx  We have to evaluate it

Q: Show that (In kx) dx (In x), where x > 0 and k is a positive dx real number.

A: ddxln kx=ddxln x, where x>0 & k is a positive real number.

Q: d 1. -x In x = In x +1 dx

A: the given expression is: dxlnxdx=lnx+1

Q: 9 x- 1 dx

A: Given: ∫19x-1xdx

Q: Evaluate the integral. 3 x - 3 dx 11 X

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Q: Evaluate the integral. х3 — 5х — 8 dx x2 — х — 6 -

A:

Q: Evaluate the integral. S. 4 x* - 3 dx 14 4 x* - 3 dx = 14

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Q: S(1+- x3 dx 1+x2, 3

A: Topic- integration

Q: Evaluate the integral. 2 x²-5 dx 8 2 X 8 X X -5 dx=

A:

Q: 5. Evaluate x + v1 – x² dx by interpreting it in terms of areas.

A: We have to consider it as sum of two functions.

Q: Evaluate the integral. 7x - 6 -dx (x+4)(x² + 1)

A: We have to find solution

Q: Find the integral

A: Given:              ∫x8-x32dx apply u-substitution: u=8-x⇒du=-dx           =∫--u+8u32du take the…

Q: Evaluate the integral. 4 3* dx /3

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Q: Evaluate the integral 4 3x dx

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Q: Evaluate: 2) x-In x dx

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Q: Evaluate the integral.

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Q: Find the indefinite integral. √4x In (7x) dx √4x In (7x) dx =

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Q: (x-1)* dx

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Q: 3 sinº x dx 4 Show that

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Q: Evaluate the integral. 0. (4.4x2 - 1) dx

A:

Q: evaluate the integral.

A: Given integral:

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

A:

Q: 3x dx x +x-6 2

A:

Q: Evaluate 0, dx by dividing the interval into 10 equal parts 8х-5 by using Simpson's one - third…

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Q: What change of variables would you use for the integral  ∫(4 - 7x)-6 dx?

A: Consider the following integral: I=∫4-7x-6dx Substitute 4-7x=t→-7dx=dt→dx=-17dt in I:…

Q: What is wrong with this calculation? 1 dx In |x||, = In 1 - In 1 = 0 - 1

A: The integral of 1xwith respect to x is log(|x|). where x≠0, cause if it is zero then function became…

Q: Evaluate ( Sech²(In x) dx

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

Q: 2 Evaluate the integral: 3x(5-3x dx

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Q: Evaluate the integral: | x(4 - x)3/2 dx'

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Q: Evaluate the integral (2х + 6)dx х2 — 2х + 17

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Q: 8. 1 dx, x In x

A: Given data:     The given integral is: .   Convert the above integral into indefinite integral.…

Q: Evaluate the integral. 3x dx 3* +4

A:

Q: Evaluate integral of (4x - 15) dx over x^2 - 4x +13

A: To find: ∫4x - 15x2 - 4x +13dx

Q: 16. Evaluate x + v1- x² dx by interpreting it in terms of areas.

A:

Q: Evaluate the integral 5х — 2 dx (x + 3)2

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Q: Evaluate the integral. „ 3X + 7 e ~×) dx , 3× + 7 e ~×) dx =

A:

Q: .5 Evaluate the integral | 2x|4x- 5|dx

A: To evaluate: ∫052x4x-5dx According to the definition of modulus function: 4x-5=4x-5        If…