The table on the right represents selected values of f(x). (Note: Ar is not constant.) 6. 8. S(x) 1 2.5 6.75 16,5 16 a) Find Sx) dx using the Trapezoid Rule and four subdivisions.

Q: Directions: Find the value of x. 4. 18 6. 5. (2x+5)' doi (3x- 16)* (x+17)* 32 orX at h moi

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Q: Q.4: Determine the intervals of the function F(x) = 2 x - 7x + 5 for whichf(x) 2 0. %3D

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Q: f cx) dx = 20 and S faodx= 3.3 find Pax) dx = =xp (x)

A: Here we find the Value of integral for given limits..

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A: Given,  is a odd function,i.e . and We have formual,  .If interval  can break into finite…

Q: 7. хе xe-x²dx 0. 8.

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Q: 3 If f(x) is an even function, and if ſ³ 6ƒ(x)dx S³3 f(x) dx. = 15, find

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Q: 3. 19 Find f(5x + 4)dx if f(x)dx = 2. 9.

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Q: Given そ< fcx)59 for S5 xs6 estimate the volue of s f cx) dx 5. S. foo dx s

A: Here we will have to find out the upper and lower limits of the integration for the given limit of…

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Q: dy Solve the differential equation y -dx

A: For solving this question, We know the basic of integral; and Product Rule in logarithm In this…

Q: ·Sa 20. x² dx (x − 1)(x² + 2x + 1)

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Q: dx (x2 – 6)2

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Q: ints) Use the functionsf (x) = -2x + 7 and g(x) = 3x² – 5. a. Evaluate (g o f)(5). Show all of your…

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Q: The maximum value of y = sin x, 0sxs2n, is and occurs at x = The maximum value of y = sin x, 0sxs2n,…

A: Given function is y= sin(x), so y' = cos(x) and y''= - sin(x). Now y'= 0 gives cos(x) =0, which…

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A: Consider the given integral. ∫-425αxdx The objective of the problem is to evaluate the given…

Q: 3. 13 6. Use the graph above to find the value of : lim f(x) = %3D

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Q: .3 The result of dx is F(b) – F(a), where F(a) and F(b) are real numbers. What is the value of F…

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Q: The graph of f(x), shown here, consists of two straight line segments and two quarter circles. 22 |…

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Q: 1. Ò (5x – 3)'00 dx 2. Ò (8x– 3)(4x² –3x)¯ dx 3. О V1-4x? dx

A: Note:  We will solve the first one since you haven't mentioned it, please re-submit the question you…

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A: Given :  x / 4 =  31.5  /18  Solve for x

Q: 35. √2x³ = 9x³ - 3x + 1 x³ = x² dx

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Q: 61 x-22y mGR (Sx-7 miHG mGK 10. (12x (2x5) mBC (17x-14)

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Q: 24 f(x)dx. 14 Using the figure below, find the value of (2) 1 48 12 16 20 24 f(x)dx =,

A: We have to find the value of integral.

Numerical Integration

In a mathematical investigation, numerical integration comprises a wide group of calculations for computing the mathematical estimation of definite integral, and likewise, the term is moreover in some cases used to depict the numerical solution of differential equations. The most important aspect of this theory is error analysis.