Which of the following integration expression can be transformed into integral of power (Ju"du). (c (Choose 2) 5dx 1-4x2 dx 1-9x 3xdx S- V1+4x2 O Scos-(wdx 2 dx E 1+4x2

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Q: 8. (x – y) dV, where E is enclosed by the surfaces z = x² – 1, z = 1 – x² , y = 0, and y = 2 E

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Q: 3 4 Sa cos xsin xdx cos

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Q: Find the volume of a sphere. Use cylindrical coordinates. Find the volume of a circular cone.

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Q: Use substitution to evaluate the integral | (3x³ + 5)° . 27x²dx

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Q: Given the initial condition u(x,0) = sin(x)+0.5sin(3x), xe[0,27], for a rod with ends fixed at zero…

A: The heat equation is ut=3uxx Consider the solution as ux, t=XxTt where X (0)=X2π=0. Substitute u in…

Q: Find integral fraction (numerator) y dy / (denominator) square root of (y+2) using the substitution…

A: Let's find given integration by using given substitution.

Q: Explain why the Power Rule cannot be used to evaluate the integral (2x4 − 5)8(8x)dx

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Q: 2. Consider the conduction of heat in a rod of length 80cm whose thermal diffusivity constant is…

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Q: integral of 70/t+9

A: Integrate the following function with respect to “t”.

Q: appropriate integrationtechnigue to Venify theintegration furmula: -Sin- (준/+c. (15).Use an %3D

A: We perform trigonometric and hyperbolic substitution .

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: How would I do this without integrals?

A: Given data: The given differential equation is dy/dx=cosx3 3x2. The derivative of the given function…

Q: How does the method of substitution work for definite integrals? Give examples.

A: To elaborate the use of substitution for computing the integrals with example.

Q: Solve the integral: A B C D 6√√x +C 3√x² + C 6 33³√/ x² +C √√√x 37 ကြ 3√x dx

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Q: Integrate by substitution: 2e dx 5e2a+1

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Q: For which real number a, the solution of the Initial Value Problem is such that x(2) = e. O 1/4 02 O…

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Q: In integrating the function f(3x + 5)(cos) dv using integration by parts, what would you choose for…

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Q: whats the integral of (3x-1)/(x2+10x+29)?

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Q: Simplify the expression xyz + x’y + x’y’

A: We have to simplify the expression xyz+x'y+x'y'.

Q: The integral of the square root of the sum of two and the square root of y with respect to y may be…

A: Some integration formulas: ∫yn dy=yn+1n+1 ∫ydy=2y323

Q: What is the integral of 2x/(3x+1) and how do I get it

A: SOLUTION-

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Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: T (b) Use a triple integral to find the volume of the solid above z √√3x2 + 3y2 and below z = 6-1² -…

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Q: Can you help me on 13? It’s integration by parts

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Q: 8a + 20x dr. x* + 5x² + 6 Evaluate the definite integral

A: We can evaluate the integral as below.

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A: To evaluate the given definite integral over the open interval (0,1)

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Q: Evaluate the integral sec(theta)/sec(theta)-tan(theta) d(theta) A. sec2(theta) - tan(theta) + C B.…

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