28. Consider the integral in Example 1: x²e»+ Show that the integrand can be expressed as a product g(x)h(y)k(z). Then verify the equation in Exercise 27 by computing the product of integrals on the right-hand side and showing it equals the result obtained in the example.

Q: Evaluate the definite integral ¹* (2²—7) ²10x¹ da

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Q: A et ex - 3x2 2 글 2 dx 3 B. Plex - 1x3 + C Clex - 3x + C D 이글-x+c x + C

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Q: How do you evaluate the integral of ( x2 ) / ( 2(x2 - 4) ) ?

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Q: integral of 2x/(2+x)

A: Let the given expression be denoted by integral I ;

Q: Find the integral of ∫tan^5(4x)dx

A: Given Data: Integrand: ∫tan54xdx   let u=4x   The derivative of the above equation is, dudx=41dx=du4

Q: Exercise 20. Compute the definite integral 1 3r - 5 (00

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Q: Int((A), Ext(A), Bnd(A),and Cluster(A).

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Q: find the integral of (e^it + 1) / [e^it (e^it - 3)] dt

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Q: Consider the following indefinite integral. The integrand decomposes into the form: Compute the…

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Q: integral from 1 to 2 of (e1/x^3 ) / x4

A: To evaluate

Q: i[e^(e^(it))

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Q: Given x+ y +z= 5 and Po(2,2,1), find the following. (a) Find the equation for the tangent plane at…

A: Here is the solution

Q: 2,1 (1/x^3+2) find the integral

A: To Determine: find the integral of 1x3+2 in interval 2,1 Given: we have a function f(x)=y=1x3+2…

Q: 7. Jo 2x + 1 et - dx

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Q: calculate the 4-) integrals rdr a-) b-) (x2-9r+20)dr (-3)a

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Q: integral of (3x2+x+4)/(x4+3x2+2)

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Q: Which derivative rule is used to derive the Integration by Parts formula?

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Q: where did the (t-1)/(t^2-1^2) come from. and why did you split the integrals and not just do one…

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Q: Show /x^ In х dx xn+1 ((п + 1)In x — 1) (п+1)2

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Q: When integrating (x+3)/(2x^2-3x-3), can I rewrite as integral of ((2x^2-3x-2)^-1)*(x+3).

A: Consider the given integral function.

Q: integral from 2 to 3 of (x^3 - 2x) dx / x-1

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Q: f(x)=2x^3-15.4x^2+27x+2.25 (a)Determine the area under f(x) on the interval [-1,8]. Use the zeros…

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