56. f(x) 16x (4x2 - V16r* + 1 V16r + 1) %3D

Q: 3. Explain how you could solve the equation In z = 3 using the graph f(x) = ln x

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Q: 4 4 - If |f(x)dx =7, find the value of 1,2f(x) – 3 dx. 2 2

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Q: 7. Find. V2x dx - 1

A:

Q: 4. Find 4x2+2x-1 dx. x3+x2

A: It is required to find the integral ∫4x2+2x-1x3+x2dx. Consider the integrand 4x2+2x-1x3+x2. Find the…

Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: Find 3 3x3 3 2Va ) dx - x5

A: here we have to find the integration of given function. the solution is following.

Q: 4 Evaluate f². dx 4-x*

A:

Q: 2 cosh x +losion2x = 5

A: I am attaching image so that you understand each and every step.

Q: бх-7 7. S dx (2х+1)(4x2+1)

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Q: 3 how that S 5x(1 – x²)² dx = 1

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Q: 4. f Inv9 - x2 dx - integration by parts

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Q: Find 1 SC + sec²6x + 9)dx: e3x None -3x tanbx + 9 x + c 6 -3 -3x tan3x + 9 x + c 6 -3 e-3x tanbx +9…

A: We can solve the given integral .

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: 5. (3x-17) dx / (x² - 6x + 10) 11

A: As per our guide lines we are supposed to answer only one question. Kindly repost other questions as…

Q: S 2dx x(3(Inx)"+1지lnz-15)호 2 +13/nx-15)

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Q: 2x +9 Find- , if y = dx x-5x+1

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Q: 13. S: 5x dx x5-3

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Q: 11-x 1 S S S dydzdx 00 x+Z 2.

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Q: Evaluate: 3 f(-x² + 4x-1)dx 1

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Q: What values of a and b maximize the value of (x-x²) dx.

A: Find your answer below

Q: 4-x2 dx -2

A: The given integral is

Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

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Q: 3 7) Evaluate: f(-x² + 4x − 1)dx 1

A: Given, ∫13(-x2+4x-1)dx

Q: 19-x² dx 2

A:

Q: -4x2 + 21x + 10 - dx = J C x3 + 10x2 x + 10

A: To find the value of A,B,C can be found by comparing by the decomposed fraction which gives…

Q: 7). Sx² sech x³ dx 3

A:

Q: Differentiate. y = In [(x + 4)(3x- 2)(5 – x)] d In (x+ 4)(3x – 2)(5- x))] = || dx

A: We have, It is known that the derivative of ln(ax) is, and derivative of the function of u.v form…

Q: 2 + 3x + x) dx . 3x² + x) t 3

A:

Q: 4. Evaluate: - V16. dx 16 x2 -

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Q: 3 y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx a

A: Given function is                                                        y=2x3+5x we have to find…

Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: (6x-y > -3 13. ly>x-2 14

A: First draw the two straight line 6x-y=-3, y=x-2.

Q: 2) Find all relative extrema of ƒ(x)= x* – 4x³

A: Answer

Q: 11-x 1 || | dydzdx 0 0 x+z

A: the given triple integral is: we have to evaluate the given triple integral.

Q: Evaluate ·S dx 2 ²√x²-9

A:

Q: 5) Evaluate x2n-1e-kx² dx

A: Gamma Function: Γ(n)=∫0∞tn-1 e-t dt And Γ(n)=(n-1)!

Q: -.f x³ ex² dx 3

A:

Q: Sg(x) dx 2. g(x) 3. 3f(x) dx 5. If(x)-g(x)] dx 6. [4f(x)– g(x)] dx

A:

Q: .6 6 If | F(x)dx=12, what is the value of | f(6– x)dx?

A: Using property of definite integration.

Q: Minimize F = 24x2 + 24y2 with xy2 = 16.

A: Minimize F = 24x2 + 24y2 with xy2 = 16.

Q: 13. S 5x dx x5-3

A: To integrate ∫5x4x5 - 3dx

Q: Evaluate ſ _dx V16-x 4-x

A:

Q: Find S 6+ 3x + 4 dx x2+1

A: Solution:

Q: Number 18

A: Here we use trigonometric identity and u substitution.

Q: 2-3x dx V2x -x+5

A: Given: ∫2-3x2x2-x+5dx

Q: 19-x 2 Find -dx 2 x² 5.

A:

Q: 1/2 Scave [ (a²-x² - x²) ¹²h dx (8) = √5 (9² - x²)³/²2 [³ (a²-x²) ¹1²2 0/² ] + c 15

A: Given:       ∫a2x6-x8dx Rewrite:      =∫x3a2-x2dx substitute u=a2-x2→dudx=-2x→dx=-12xdu…

Q: (4 - x2)3/2 dx 3

A: Consider, I=423∫-22(4-x2)3/2dx I =4232∫02(4-x2)3/2 dx   since f(x) is even function that is…

Q: 20. Find f2x/(5x-3)dx

A: