2. Evaluate the following: . /32 dx a. b. /a'e'dt c. [e*se" dx

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A: Method of long division and some basic integral formulae are needed in this.

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A: Our Aim is to compute the derivative of cot (x).

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A: Solving the given problem using the concept of improper integrals in order to solve the given…

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Q: D Without o rodian measure of e if it exsists. calculator, giue the e = Sec-(-a)

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve…

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A: Given:       ∫ 2xe-2xdx

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A:

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A: The given integration is ∫1-x12xdx.

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A:

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A:

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A: This is the problem of dynamical system.

Q: Integrate the followings 1 dx J (1+ )?

A: ∫1x1+x2dxLet               1+x=t             d1+x=dt                12·1x·dx=dt…

Q: 13h dn.

A:

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A: to findI=∫12x127-26x-4dx

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A:

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A: Let the integral be  I = ∫01∫x1∫0y-xxydzdydx 'I' can be solved directly by integrating individual…

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A:

Q: 1. For what values of p is O'dx?

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want…

Q: et dx 5-e

A: Given integral is

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A: Given a statement

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A: The integral function is ∫012dxx2-x+1=π33.

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A: The methods and formulas to find the solution of the Bernoulli equation help to find the required…

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A: Since you have posted multiple question We solve only first question  for reaming question post…

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A: its a multiple integral based question.so 1st we integrate with respect to y and then with respect…

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A: Using beta and gamma function.

Q: 1) For #31-34, evaluate each derivative. d 3 dx ' sec /a* dx d. | ytan tdt dx

A: As per the company guidelines we can solve first three parts . I hope that the given solution will…

Q: dx (メ+)

A:

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A: To evaluate: ∫-12x-2|x|dx

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A: ∫xndx=xn+1n+1+C1xn=x-n

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Q: Sy sinh dy a

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Q: In 4x 5. S dx

A: The integration of the integral is ln(4x)/x.