c) Evaluate Ssin 3.xcos 4x dx by using integration by part.

Q: Evaluate the iterated integral. LLL- 2 x³ y2 + z?dxdydz 0.

A:

Q: Convert the integral  0∫2 0∫2z y∫2y dxdydz in the order a) dzdxdy b) dxdzdy

A: Given: ∫02∫02z∫y2ydxdydz

Q: O Calculate the integral y dydx

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

Q: Evaluate the iterated integral. (1/2 (y/7 (4/y sin y dz dx dy Part 1 of 3

A:

Q: Evaluate the triple iterated integral. 2/2 xyz dx dy dz 0/ -1

A:

Q: Evaluate the tollowing Integral csc “(+w)cot" (+w)d 4

A: Problem is related to integral of the function based on the trigonometric concept. General formula…

Q: 2z •In a 5. xe¯Y dy dx dz

A: Given, ∫12∫02z∫0ln x xe-y dy dx dz

Q: Evaluate the double integral. |/ (2x + y) dA, D = {(x, y) | 1 < y< 4, y – 3 < x :

A:

Q: In (ale) (2– sec²x)«m#/c°sec³x sec(3A – x) What should be the value of A for dx to be integrable…

A:

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

A: ∫14∫01∫0x34ze-x4dydxdz

Q: Evaluate the iterated integral. 2 1T 2 - 2y3) dx dy

A:

Q: Evaluate the iterated integral | dydx. а. 2 b. 1 с. 0 d. 3 О а. O b. O d.

A:

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 iterated integral. 8. 1 6ze dy dx dz 0/

A:

Q: In (rle) sec³x (2– sec²x)«ma/2)sec³x What should be the value of A for dx to be integrable using the…

A: we have to find the value of A.

Q: Evaluate the iterated integral. 2 2x 10xyz dz dy dx Jo Jx

A:

Q: c) Evaluate | V In(z)dr by using integration by part.

A:

Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 < y< 2, y – 1 < x < 1}

A: Double integration

Q: Evaluate the double integral. (2x + y) dA, D = {(x, y) | 1 <ys 2, y – 1 < x< 1}

A:

Q: Evaluate the double integral. 7y2 dA, D = {(x, y) I –1<y<1, -y – 2< x< y}

A: Explanation of the answer is as follows

Q: The product of the triple integration +y² +z*)i dzdydx pa Jasa ga استخدم الاحداثيات الكروية(

A:

Q: aluate the iterated integral. || 5x²sin(y) dy dz dx =

A: Given: ∫0π∫05x∫0xz5x2sinydydzdx

Q: 29. Sketch the domain D corresponding to IL Vax? + 5ydxdy 4x2 Vỹ Then change the order of…

A: Given region y=0, y=4x=y, x=2

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

A: triple integration

Q: X. 2ze-x² dy dx dz

A:

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.

A: The given integral is ∫01∫0y6x+5y3dxdy

Q: C for the con

A:

Q: Use the fact that cos(z) = R(eiz) = (eiz + e-iz)/2 to find the integral of (e3xcos(4x))dx.

A: Here the given integral in not in the complex form so we calculate the integral as it is given in…

Q: The value of the triple integral J.J.J v+2z)dzdydx (Correct to ONE decimal place) will be

A:

Q: Calculate the iterated integral. (6x2y – 4x) dy dx Need Help? Read It Watch It

A: Given: ∫12∫04(6x2y-4x) dy dx Calculate the given iterated integral which limits of x and y are:…

Q: (1) Sketch the regions of integration. (a) 3m/2 (b) (r,0)r drdo 3m/4

A: The integrations  (a). ∫-π2π2∫04f(r,θ)rdrdθ(b). ∫3π43π2∫34f(r,θ)rdrdθ We have to sketch the regions…

Q: Supply the missing integrand and limits of integration. (1) LL": (1) SL". 6a²y drdy = dy dr

A:

Q: Use the substitution formula to evaluate the integral. fin-√3/22 c2x dx 1 + e4x 28) 0

A:

Q: evaluate the triple iterated integral.

A:

Q: (b) Apply the method of contour integration to prove that (2m de 2n Jo 2+cose 3

A:

Q: Evaluate the integral: + 6 dx = %3D

A: Find the integral by using substitution method

Q: Using the integration bay parts formula with u = x- dv = cos x dx, the integral x cos x dx becomes

A: The given integral can be solved as follows:

Q: , evaluate the given double integral. I sinxcos(y – n)dxdy 10.

A:

Q: Evaluate the iterated integral. •x5 V 64 – x6 dy dx /o Jo

A: The given integral is:∫02∫0x564-x6dydxWe need to evaluate the integral.

Q: Evaluate the iterated integral " (3x + y) 2 dyda

A:

Q: Evaluate the integral cot2x dx J Tcot?x – 15

A: We will evaluate the given integral as shown below

Q: aluate the iterated double integral. 1 cos(y) /5 + cos² (y) dydx Saresin (2)

A:

Q: Evaluate the iterated integral. 2x 2xyz dz dy dx Jx

A:

Q: The value of the triple integral (r + y)dzdydx

A: To evaluate  ∫01∫0x∫0x+y(x+y) dzdydx Formula used ∫dx=x∫xn dx= xn+1n+1∫abf1(x)= f(b)-f(a)

Q: 7. Use contour integration to evaluate (a) dr x²+x+1² de (b) 3+2 sin

A:

Q: Evaluate the iterated integral. 3 4ze dy dx dz

A:

Q: Evaluate the iterated integral. 6. I (8x - 2y) dy dx | 1

A: Given: ∫19∫0x8x-2ydydx

Q: Evaluate the iterated integral. 5 2 y dy dx 10 Vx+y 5 2

A: Given, I=∫15∫02 yx+y2dy dx To Evaluate I.