dz 2 t´ + Zz-3

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

A:

Q: Evaluate the integral. 6. 9 In(y). dy Vy J4

A: Given,             ∫49lnyydy

Q: S,(4y³ +-) dy y3.

A:

Q: dy y/ 9y2–16

A:

Q: Evaluate the integral. (y – 2)(2y + 1) dy Jo |

A: ∫xndx=xn+1n+1+C ∫1dx=x+c

Q: x exp(-y²)dydx 0. 1

A: We have to solve given problem:

Q: (b) 'elz)x d: 1

A:

Q: 1 de is not an improper integral x +1

A:

Q: z=6-x-y Yy=4-x²

A:

Q: Evaluate the iterated integrals: 4 2 S[x* +xy}dydx 0 1

A:

Q: Evaluate the integral. dA, R = [0, 6] × [0, 16] x + 1

A:

Q: xdx J Væ +3

A:

Q: what is the integral of e^(-2a|t|) from -w to w?

A:

Q: Evaluate the integrals in ∫2y dy/y2 - 25

A: Given integral:

Q: Evaluate the integral *(* – 10)"dz 6 by making the substitution u = 1 z° – 10- +C

A: ∫un du = un+1n+1+C ; where 'C' is an integration constant.

Q: Evaluate the integral: ∭D(x2+y2+z2) dxdydz, where D is defined by x2+y2+z2≤2.

A: Given:-                               Evaluate the integral: ∭Dx2+y2+z2dxdydz…

Q: Evaluate the iterated integral. 9. (8x – 2y) dy dx 1

A:

Q: Find the integral of r(t) = (3t2 + 4t, 2, e') from 0 to 1.

A: Consider the following vector: rt=3t2+4ti^+2j^+etk^ Integrate the above vector:…

Q: Evaluate the derinite Integral. #5 In(x) dx

A:

Q: Calculate the double integral where R = [1,2] × [-1,1]: R xeᎩ dᎪ

A: Sol:- It can be re-written as :- ∫12∫-11xeydydx......................(1)First siolve this…

Q: Evaluate the integral 20 | by making the appropriate substitution: u = 5 – 2 (2³ – 2)® dx %3D -

A: Evaluate the integrals

Q: Evaluate the integral using the given substitution. 18(6x- 2)6 dx , u = 6x - 2 0.(6x - 2) +C O (6x -…

A: The given integral is ∫186x-2-6dx and  u=6x-2

Q: Compute the double integral , xy³ dA where T is the triangle (-1,0), (0, 5), (1,0).

A:

Q: Evaluate the integrals

A: Given: ∫-3-1y5-2yy3dy for evaluating this limit we first separate terms then integrate it

Q: Evaluate the integral. y In(x) dx, y > 0

A:

Q: Evaluate the integral f, (5x + 6y²) dA, where R = {(x,y)|0 < x < 4,0 < y < 3}.

A: Given integral is ∬R (5x + 6y2) dA Where R =  (x, y) | 0≤x≤4, 0≤y≤3

Q: Find the product of the integral In(3) S Som) xy e*y* dxdy

A:

Q: Evaluate the integral. r 81 In(y) dy Vy 64

A:

Q: St³ In t dt

A:

Q: Consider the integral 2 6z² In(z) dz

A:

Q: evaluate the iterated integral.

A: Given- ∫02∫-11x-ydydx To find- The value of the above integral.

Q: Find the integral of f(r, 0) = where 1 <r <3, 4r2,

A:

Q: Jy cosy smy dy 3

A:

Q: Evaluate the integral

A: Solution Given ∫01x2(1-x2)52dx We need to evaluate the integral

Q: In y -dy 4

A:

Q: Evaluate the improper integral A 0 (B 4 C diverges 2 D 9 mit 2 3 -2 X 3 dx

A:

Q: Evaluate the integral x2 ds where C is the portion of x2+y2=4 from (0,2) to (-2,0).

A: ANSWER:

Q: Evaluate the integral from 0 to 1. 3/(1+t2)j + 5t4/(1+t5)k

A: We first separate the integrals. ∫3(1+t2)j+5t4(1+t5)kdt=3∫11+t2dtj+∫5t4dt(1+t5)k=3arctan(t) j +…

Q: evaluate the iterated integral.

A:

Q: what is the integral of z 3^z dz

A:

Q: Evaluate the integral. In 2 ey dx dy

A: Explanation of the answer is as follows

Q: Evaluate the integral. dy y4 – 16

A:

Q: Evaluate the integral: (In z)6 dz %3D

A:

Q: Find the double integral ff (x² + y² do, over R={(x, y):-1≤ x ≤ 1,0 ≤ y ≤ 2}. 1.

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

Q: Express the integral L Ey.2) dadrdy as an iterated integral in the other five different ways.

A:

Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.

A:

Q: Evaluate the integral In 23 In y s s ex+y dx dy.

A: Given: ∫1ln23∫0lnyex+ydxdy

Q: Evaluate the integral. H (z(1 – 2z)*) dz =

A: topic - definite integral

Q: Consider the integral 2x [2 dz. 4 Use the composite Simpson's rule with n=3 to approximate the…

A:

Q: Find the integral of f (z2 +x2 + y33) dt.

A: Given : ∫z2+x2+y33dt