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

Q: Calculate the double integral. x sec?{v) dA, R- {x, v) I0 sx s 6, 0 s ys} x sec?(y) dA, =

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Q: 2. VI-x² !! 1 dy dx- dz 0 -1V1-x2

A: Change Cartesian coordinate to cylindrical coordinate by using x = r cos(theta) y = r sin(theta) z =…

Q: Calculate the double integral. ∫∫ y/x^2+1 dA, D= {(x,y)| 0≤ x ≤4, 0≤ y ≤ sqrtx}

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Q: Evaluate the iterated integral. 24 (x + y + z) dx dz dy of

A: To find: ∫02∫04∫01x+y+zdxdzdy

Q: Evaluate the integrals in Exercises using integration by parts

A: The integration given to us is  ∫tan-1ydy            (1)

Q: Evaluate iterated integral.

A: ∫03∫45xx2+3ydydx

Q: 14 Find the integrals using integration by parts. a. Jx(x+ 4) dx b. JVF In Vrdx c. fr'e"dx d. [ (In…

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Q: Evaluate the iterated integral. 8. (++ y + z) dx dz dy

A: We will evaluate the integral one-by-one with respect to x,z and y

Q: (x + y) dx dy Jo Jy/2

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Q: dy 1+ sin 4y

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Q: Evaluate the double integral: 2 So de dy. Sola 0 Jy¹/3 Y x7 +1 (Hint: Change the order of…

A: Application of integration

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

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: +4)(v² +®y)Vy? +8y – 1 dy 3.

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Q: Consider the triple integral I = S S“(y² – 6z)dydzdx. -

A: ∫02∫x21∫0xzy2-6zdydzdx=∫02∫x21z3x33-6z2xdzdx=∫02x31-x812-6x13-x63dx=31.88888…

Q: Evaluate the triple integral S" S, sin y² dz dy dx.

A: We need to find the triple integral ∫03∫0π∫0ysiny2dzdydx. So,…

Q: Evaluate the iterated integral: S", Si yz dx dz dy.

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Q: Evaluate the triple iterated integral.

A: The given integral is ∫02∫01∫-12xyz3dxdydz.

Q: /2 sin(z + y) dy dz

A: Let,      I=∫0π2∫0π2sin(x+y)dydx

Q: @ Evaluate the integrals Jsx+y+2, dz dy dx-

A: Note:-   as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Evaluate the iterated integral. /8 3/y sin y dz dx dy Jo

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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. 2 6ze X dy dx dz

A: Evaluate the given iterated integral ∫12∫01∫0x56ze-x6dydxdz

Q: Evaluate the iterated integral. 19-y2 y dx dy 3 /9-y² у dx dy — i

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Q: Calculate the double integral. 7x sin(x + y) da, R = [0, * [0, =]

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Q: Evaluate the iterated integral. 10xyz dz dy dx 0 Jx

A: ∫02∫x2x∫0y10xyz dz dy dx= 10 ∫02∫x2xxy z220ydy dx= 5 ∫02∫x2xxy3dy dx= 5∫02x y44x2x= 54∫02x16x4 -…

Q: Evaluate the iterated integral. 27 1²th I 729- y dx dy = 27 1.² 1. 729-y² y dx dy

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Q: Consider the integral 16–z² x? dz dy dx x²+y²

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Q: Calculate the iterated integral. 12 2ex + 3y dx dy

A: Consider the inner integral, name it as I1 Take the constant 2 out of the integral sign.

Q: Evaluate the triple iterated integral. xyz dx dy dz 0/

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Q: LL L dx dy dz 4. Evaluate the triple integral :

A: First Evaluate integration w r to x  Second integration w r to y Third integration w r to z

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

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

Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

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Q: Calculate the iterated integral.

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

Q: Evaluate the iterated integral. IIT*+y+z) dx dz dy

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Q: Use Trapezoidal Rule with number of sections (4) to calculate the double integral below 2 3 I =…

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Q: Evaluate the iterated integral. rIn(x) xe-Y dy dx dz 4z 434 3

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Q: 1 v/35y² dy

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Q: Find uhe integral y+ 2 dy

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

Q: Evaluate the triple iterated integral. r2 xyz dx dy dz

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Q: Calculate the double integral. Te 1+ xy бх dA, R = [0, 6] × [0, 1] 1 + xy

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Q: Calculate the iterated integral. '64 Y)dy dx

A: Given that a double integration and we solve this using general rule of integration. Here i attached…

Q: Evaluate the triple integral 5 z sin x dy dx dz 3.

A: Given:

Q: Evaluate the iterated integral. 3 (2z fIn(x) '3 xe-Y dy dx dz Jo

A: ∫13∫02z∫0ln(x)x e-y dy dx dz

Q: Evaluate the iterated integral. 24 V576-y у dx dy 24 V576-y2 y dx dy = i

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Q: 2+ y²) dz dy

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Q: Calculate the iterated integral

A: The given double integral is  I=∫01∫04xy+ydx

Q: Evaluate the integral. inegral y / (y+4 ) (2y-1) dy

A: