### Double Integrals : Transformation

Please see the attached file for the fully formatted problems. calculate the integarl of (3x + 4) over the region bounded by the lines y =x, y = x-2, y =-2x and y = 3 - 2x; Use: x = 1/3(u+ v), y = 1/3(v - 2u)

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Please see the attached file for the fully formatted problems. calculate the integarl of (3x + 4) over the region bounded by the lines y =x, y = x-2, y =-2x and y = 3 - 2x; Use: x = 1/3(u+ v), y = 1/3(v - 2u)

Find the volume of the smaller wedge cut from a sphere of radius (a) by two planes that intersect along a diameter at an angle of pi/6. Use cylindrical or spherical coordinates, whichever seems more appropriate.

See attached Find the indefinite integral using each specified method. Then write a brief statement explaining which method you prefer. x (square root of 4-x) dx (a) By parts, letting dv = square root of 4-x (b) By parts, letting u = square root of 4-x

Please see the attached file.

Problem and example are attached Consumer and Producer Surplus: Find the consumer and producer surplus for the case below: Demand: P1(x) = 1000 - 0.4x62 Supply: P2(x) = 42x

Use a double integral to find the area of the region. Above the cone z=squareroot(x^2 + y^2) and below the sphere x^2 + y^2 + z^2 = 1

Please help on these problems section 5.4 # 2,4,8,12,28,33 Thanks attach is the reference Verify that the pair s(t), y(t) is a solution to the given system... Find the critical point for the given system... Determine the integral curves for the given system.... Solve the phase plane equation...

I need help integrating the following problems. I have attached them in a file. Please show step by step solutions.

Evaluate the integral by reversing the order of integration (see attachment for integral)

Find the maximum and minimum values of: f(x1, x2) = int(1/(1+t^4), t = x1..x2) over the region determined by (x1)^2 * (x2)^2 = 1 (attached is a .jpg version of the function)

Let be the unit circle, followed in the positive direction. Evaluate the integral Please show all steps to the solution.

Let S be the part of the plane z = 2x + y + 5 inside the cylinder x^2 + y^2 = 1 with the normal oriented upwards, and let F := xi - zj - yk. see attached file for problem. Thanks you

I am having problem integrating this problem. I am not coming up with the right solutions. Please help me solve this and show all steps. Thanks

See attached Compute the area of the region that lies inside the polar curve...

See attachment for problem

Evaluate the integral: Int [(1+t^2)i + (-4t^4)j - (t^2 - 1)k]

See attached problem. Integrate from 0 to 3, (pi*x/100)*(sin(pi*x^2/9))dx.

Please see attachment for full description. Please show detailed steps of how to evaluate the following integrals. (1) [e^x - e^(-x)] / [e^x + e^(-x)]dx (2) 1/[x^(2/3)* (1+ x^(1/3))]dx (3) 1/[1 + sqrt(2x)]dx

Please see attachment.

Please see attachment. Show detailed steps of how to evaluate the following integrals 1. (x +1)e^(x^2 + 2x)dx 2. (tanx)^4 * (secx)^2dx

The problem reads: 1)Plot the following functions on the same coordinate system with the given domain and range. y = x^4 - 2x^2 and y = 2x^2 -4 <= x <= 4 -2 <= y <= 10 2)I am then to set up the definite integral that gives the area of the region bounded by the graphs of the functions. I had no trouble plotting th

[See attached integral problem.]

Integrate: x / (sq. root (1 + 2x)) dx from 0 to 4

Integrate: cosxsin(sinx)dx from 0 to Pi/2

Integrate [(sinx +sinxtan^2(X)) / sec^2(X) ]dx evaluate from 0 to Pi/3

Integrate [ (1 + cos^2x)/(cos^2x)] evaluate from 0 to Pi/4

Evaluate Int of sin^2 q dq ... [See attached question file for equation.]

1. Write arctan ... 2. Evaluate the integrals ... 3.Use integration by parts twice to find ... [See the attached questions file.]

Please see #2 on attached problem set thank you

Find the mass of the tetrahedron with vertices (0,0,0), (0,1,0), (3,0,0), and (0,1,4) with density f(x,y)= xy using iterated integral the instructor said that the integral needs to be divided into 2 integrals