By the Power Rule, the integral of s with respecttos is: Please explain in clear detail how the is obtained. 3 you Thank yo 7/2

Q: Given the image below, how do I find the work done by F along C?

A: Definition of work:

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Q: Evaluate the above integral using polynomial long division. Make sure to include "+C" in your…

A:

Q: Make a substitution to express the integrand as a rational function 3 f dx x²+x√√x

A:

Q: Sp

A: The question is asking to verify the statement that for all real numbers x and y, the product xy is…

Q: Q2/ A: Use Lagrange Interpolation Polynomials' to determine the relationship between the velocity of…

A: Sol. Let time(s)=x  And velocity (m/s)=y=f(x).  And to find x at y=100 x 10 20 60 y 20 120 400…

Q: 1. dx x+2

A: Due to our guidelines I am solving only 1 question

Q: 4. Explain how the following formula d (u₁-u₂-..- U₂) ² dx enable us to differentiate any…

A: The given formula is:ddxu1-u2-...-un=du1dx-du2dx-...-dundx. To Do:We have to explain how this…

Q: Find the roots using Bairstow's method of the function f (x) = x* – 2x3 + 2x² + 3x – 4. Use u, = 1…

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Q: fco | cos 5xsin 5xdx

A: SOLUTION-

Q: Sp

A: The question is asking if the product of two real numbers x and y, represented as 'xy', is equal to…

Q: dx (§5.7, Q28) Evaluate the indefinite integral: (x – 9)5"

A: step 2 complete solution

Q: Use proper substitution to evaluate the integral 2.

A: Our aim is to integrate the function :- x2x-7 dx∫(x2x-7 )dx -(i)Assume that x-7 = t -(ii)dt=12x-7 dx…

Q: Differentiate the following function. y = In x+ In 5 Choose the correct setup below to start…

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Q: Evaluate the integral 49 [2² (2³3-6) dz

A:

Q: Evaluate the integral 9x² √x² + y² dzdy dx

A: Given problem:-

Q: Differentiate the following functions using product rule. 1. f (æ) = (3x – 9) (x – 6) 2. ƒ (x) = (æ³…

A: The product rule of differentiation is given by: ddxf.g=dfdx.g+f.dgdx

Q: .Given that 3 is a zero of the function f(x) = x - 3x? + 4x – 12, find the maining zeros then write…

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Q: 8a Evaluate the integral by making the appropriate substitutions. Write your solution as a single…

A: Integration of the function helps to find the required value of the given expression. Integration…

Q: The answer was right and the steps to figure it out are awesome but am confused how you got the 1/2…

A: We have to explain  from where we get 12 and r

Q: Given |(-2x° + 3x – 3x° – 6)dx, evaluate the indefinite integral. Do not include +C in your answer.…

A: Integral x^n is x^(n+1)/(n+1)

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.