Using Integration By Parts, x3 / x² + 4 dx = u v - v- Svau-

Q: A) If T (,) = (,) and T () = (;). -2. Find T)

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Q: According to researchers, the mean length of imprisonment for motor-vehicle-theft offenders in a…

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Q: Perform the following equation using PEMDAS shown in the image. Write your answer together with its…

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

Q: Noting the range of the integral, compute .2 Jo (2² + 9)2dx.

A: By using inequality of integration

Q: ) (a) (b) (c) Differentiate y == the function by using rules. 1 2x - 3 y = ln(7x + 5) y = 3x³e5x

A: In this question, we need to differentiate the given functions. Please note that as per bartleby…

Q: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2

A: Find the general solution: (x^2D^2 + 6xD + 6I)y = x^2 Given D.E., x2D2+6xD+6)y=x2⋯(1) which is…

Q: Integrate using the integration by substitution method. (7x6)/(x7-6)

A: Apply u-substitution method to evaluate the integral. Use the formula ∫1xdx=lnx+C.

Q: 4 (1+2 In x)* 6. J dx б.

A: We have to find

Q: 1 -4 28. f(y - 3)(y³ - 3y³ + y)dy

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 10

A: Evaluate the integral ∫4x4+310dx

Q: Problem 1. (Line Integration) Consider the curve c(t) = (e*, e-t) with 0 <t<1 and the vector field…

A: Given:

Q: х* + ах + 2bx + 2ab + 2x3 — ах* + 6bx? dx х4 + аxх3 + 2bx3 + 2abx?

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Q: 11. xyz dV, where G is the solid in the first octant that is bounded by the parabolic cylinder z = 2…

A: To evaluate the triple integral

Q: 3(x5 + x³) ez"+xª + 3(x6 +xª) +2 dx -2

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Q: For the linear expression in x, give the constant term and the coefficient of x. The constant term…

A: Let,Writing linear expression in terms of x

Q: 4x + 1 - dx 4x2 + 2x + 3

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Q: 1. Given x= 2t2+ 1, y= 3t : Find A = J ydx as a function of t by substituting for y and dx their…

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Q: Find the surface area of o, where o is part of the cylinder X = 1- y² that lies between the planes z…

A: We have to calculate the surface area of the part of cylinder  that lie between the plane  and

Q: integrate show full solution

A: To Integrate: ∫x26e-x/2dx

Q: Let L be a lower triangular, nxM matrin & A=LL", Assume the eigen vector matrix of A can be written…

A: To find the singular value decomposition (SVD) of matrix A in terms of the eigenvector matrix S and…

Q: The center of an earthquake, called an epicenter, has occurred in a city located at the coordinates…

A: given the center of the earthquake is (1,-4).another point where the earthquake is felt (-3,2)

Q: evaluate using the double substitution technique intergral 5x (square root(5x-3))dx

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Q: 4x^2 - 10x + 4y^2 + 9y - 5 = 0 Find (h,k) and the radius.

A: 4x^2 - 10x + 4y^2 + 9y - 5 = 0 Find (h,k) and the radius.

Q: Solve RESISERE d³x dt3 +79²x dt² PERS + 6x = 0

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Q: v (t) x w (t)=((t)i + (sin t)j + (cos t)k) x ((3t)i + 2k) ijk t sint cos t 3t 02 =(2 sin t)i + (3t…

A: The cross product of two vectors A and B is given by:A=ax i +ay j +az kB=bx i +by j +bz…

Q: Integrate (x2+2)(9x3+6)

A: Given that: ∫(x2+2)(9x3+6)dx

Q: sin(2x) cos(2x) dx 1+ cos(4x)

A: To evaluate: The integration of ∫sin2x·cos 2x1+cos 4xdx. Formula used: Trigonometric relation: 1+cos…

Q: Find real numbers and such that 2.x – 3iy + 4ix – 2 y – 5–10ix = x + y – iy + 2-(3– x)i

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Q: Integrate: (4x-9)/(2x-5)(x-2)

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Q: dx S 3x-x 2

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Q: integrate xarctan(4x)

A: We have to integrate  xarctan(4x)   It is given by ∫xarctan(4x)=∫x atan(4x)