a) dz, T: z (t) = -e-int, 0

Q: Evaluate the iterated integral 1-х* dx dy. yl/3

A: The given iterated integral is ∫01∫y1311-x4dxdy. From the limits of integration, we have 0≤y≤1 and…

Q: Integration in REVERSE ORDER

A: Given:

Q: 2 dz dx dy +2 Volume 2y 9-y?

A:

Q: Evaluate the iterated integral. dy dx dz z +1

A: Integrate as general

Q: If | f(z)dx f(x)dx + what are the bounds of integration for the first integral? a = and b =

A: Given that ∫abfxdx=∫−47fxdx+∫78fxdx−∫−41fxdx

Q: If {(-)dn = [ f(=)dz + [ 1 f(x)dz what are the bounds of integration for the first integral? a = and…

A:

Q: Find the total differential dz for z=tanh(y)ln(x)

A:

Q: Calculate (x²+y²) dx dy area when D is the limited to x²-y²=1, x²-y²= 9, xy = 2, xy=4

A: As per the question we are given a double integral over the 2d region D bounded by the following…

Q: Write down the new limits of integration for the integral -1 -1-y IIL" S(7,4, 2) dz dy dæ if the…

A: As per given tripple integral  0  ≤  z  ≤  (1 - y)  x2  ≤  y  ≤  1  -1  ≤  x  ≤  1   Thus, curves…

Q: Evaluate the iterated integral. ITT 4ze dy dx dz

A: ∫14∫01∫0x34ze-x4dydxdz

Q: 14 Find the integrals using integration by parts. b. JF In /rdx In a. fx(x + 4)°dx c. fr'e"dx d.…

A: Just multiply by 1and go ahead.

Q: Evaluate the iterated integral. IL(1lx – 49)dy dx (11x – 4y) dy dx = i

A:

Q: Sketch the region whose area is represented by the definite integral. dx y 12 12 10- 10 8. 6 6 10 2…

A: The definite integral can be used to evaluate area of region bounded by curves. If over an interval…

Q: d) Evaluate using integration by parts: J(x+ 2)In x dx

A:

Q: Calculate the iterated integral. integral_0^1integral_0^1(x + y)2 dx dy

A: Given problem is : Calculate the iterated integral. integral_0^1integral_0^1(x + y)2 dx dy

Q: The area under the curve parametrized by x(t) = e", y(t) = 2et +1, where 0 St<1/3, is equal to.

A: As given, x(t) = e3t  y(t) = 2e3t + 1 where 0≤t≤13.

Q: Evaluate the iterated integral. In 4 In3 2x+Y dy dx 0 1 **y In 4 In 3 e2x + Y dy dx = 0 1 (Type an…

A:

Q: Evaluate the iterated integral. 8 (x + 6)dy dx (x+ 6)dy dx = %3D

A:

Q: Consider a rod of length meters with density 8(x)=(2- cos x) kg/m over the interval 0<x<5.

A: Given that The length of rod is π2 and the density of the rod is δ(x)=2-cos(x)  with 0≤x≤π2 To find…

Q: Evaluate the improper iterated integral ro 1 So So (2² + y²) arctan(y/2)² +1' dy dx.

A: Given that: ∫0∞∫0x1x2+y2arctan(y/x)2+1dydx The objective is to evaluate the improper iterated…

Q: A// compute $(4+ e*) dx+ (siny + 3x*)dy Where c is closed bounded region lying in the first quarter…

A: See the attachment

Q: Evaluate the iterated integral. (3x + 4y3) dx dy

A:

Q: Set up an integral for the volume of the solid generated by revolving the region in the first…

A: We can see the region bound by the curves. Now we will set up the integral.

Q: Solve the integral (5x - y)dx + (2x + cy)dy along the curves x = y3 from (0,0) to (1,1)

A: Explained below

Q: Evaluate the iterated integral. x2 3ze dy dx dz Jo

A: triple integration

Q: Sketch the region R whose area is given by the iterated integral. dx dy 3 3- 2- 2- 1- 3- 3 2 3…

A: ∫13∫23dxdy

Q: Evaluate the donble integral dy dx

A:

Q: Sketch the region of integration dy dx In y and evaluate the integral.

A:

Q: Determine the integral of x y dx dy. Use inner limits=0 to (y + 1) and outer limits=0 to 1.

A:

Q: DEvaluate the double integral x cos y dA, where D is bounded by y = 0, y = x², and x 2. %3D

A: Integration of cos(x) = sin(x) Integration of sin(x) = -cos(x)

Q: Evaluate the iterated integral. 3ze dy dx dz 1

A: We have to find the value from the given condition

Q: the double integral dy dx Evaluate 2.

A:

Q: Sketch the region of integration for the integral 1 dx dz dy. Y 0. Write the five other iterated…

A:

Q: Calculate the iterated integral.

A: To calculate the iterated integral ∫05∫142xy4+3dydx

Q: 1- f(x, y) dy dx •x+1 f(x, y) dy dx + at is the sum of the four resulting limits of integration? 3.

A:

Q: b) Determine the volume of D = 5[ 1 dV using integral -zx.

A: The volume of a solid V is given by V=∬∫v 1 dvwhere limits of x,y and z can be found from the given…

Q: Find uhe integral y+ 2 dy

A: Substitute u=y+2,du=dy.  Note that y=u-2.

Q: Evaluate. (use C for aonstant of intgration) dx 2 X "- 3

A:

Q: 1. Find the area of the shaded region by (a) integrating with respect to x and (b) integrating with…

A:

Q: If f(2)dz + f(z)dr what are the bounds of integration for the first integral? a = and

A: Bounds of integral are nothing but the limits of an integral under which area of a curve is found.…

Q: ( b). Je2cos (πx) dx .

A:

Q: Find the total differential of z = In(x + y), x = w, y= w?. By how much will z change if w increases…

A:

Q: Evaluate the triple iterated integral. xyz dx dy dz

A:

Q: dydx tan x 1. 1+ y²

A: We need to calculate double integral in given order dydx   we use result of inverse Trigonometry…

Q: 1–q² (b) Interpret Vr2 + y? dydx as a volume and calculate the integral without integrating.

A: b)