be2= J (z – 1)2(z+1)4dz ; Iz| = 2 |

Q: Q4 Evaluate the double integrals: [(x + + y+1)dxdy

A: Value of the giveen integral is

Q: Find the derative of the integral from x to 2. y=(t+3)^2 dt

A: let us assume y=∫x2(t+3)2dt

Q: find the line integrals along the given path C. ∫C (x - y) dx, where C: x = t, y = 2t + 1, for 0≤ t≤…

A:

Q: Evaluate the integral. (e* i + 4t j + In(4t) k ) dt + C

A: The given integral is: ∫et i+4t3 j+ln(4t) k dt

Q: Find the integral | 2(x* – x°)(x5 – 1)®dx а. b. In x2 dx 2х J x + 3)* С. 5.

A:

Q: || x²v d4 where D { (x,y) : xs y s 2+x, -1sxs2}. 2. sys2+x,-1<x<2}. D

A:

Q: where d! x*ry*< a² 2.

A: Change in polor coordinate.

Q: Evaluate the Integral dz 1. S z²+4z ANSWER: 1. - In + C 4 |z+4

A:

Q: 2x Evaluate the improper integral J dx, if it exists. (x2 + 64)2

A:

Q: T 3. fz sin4 y cos7 y dy 2

A:

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: 5- The value of the integral J. (Z+1)4 Where C is Z = |3||

A: The general form of a complex number is given by z=x+iy, where x,y are two real numbers and i=-1.…

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: Find the derative of the integral from 0 to x+2 y=(t+3)^2 dt

A: let us I=∫0x+2(t+3)2dt

Q: Evaluate the 2 improper integrals attached with this question.

A: Given integrals are

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

A:

Q: 2. Evaluate the given integral. a da /3 — а 0,

A: Given:                 ∫02a3-αdα Apply u-substitution: u=3-α⇒du=-123-a…

Q: Define f : [0, 2] → R by f(x) = 1 for 0 sx S 1 and f(x) = 2 for 1 < x< 2. Show that fE R(x) on [0,…

A: Consider the given function.

Q: C * dt = 1 0.2t

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

A: We need to evaluate the integral using the given substitution

Q: evaluate the integral.

A:

Q: 4. S dy y³-2y²

A:

Q: Q/5 Evaluate the integral of: (a) St³et* dt dx (b) 2 x (In x)²

A: We have to evaluate the integral. Using the substitution method we can solve these questions.…

Q: Use the indicated change of variables to evaluate the double integral. 4(x2 + y²) dA X = y = (0, 1)…

A:

Q: Evaluate the indefinite integral ∫⟨1t,4t3,√t⟩dt, where t&gt;0.

A: We will integrate term by term.

Q: Q7. Estimate the integral of y with respect to x , evaluated from -1 to 1. Use 11 values of x ,…

A: Using the code for Trapezoidal Rule-

Q: The value of the improper integral / 36 z² e ² dz = 12e1 O - 36e 1 O 36e 1 O 12e 1

A: We need to evaluate the value of the following integral I = ∫1∞36x2e-x3dx

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

A:

Q: Q4 Evaluate the double integrals: ||x+y+1)dxdy

A:

Q: 2e^xdx-3e^ydy=0   What is y'? What is its integral?

A:

Q: S( z +1) e2² dz

A:

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

A:

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

A:

Q: Substitute u = x + 2 into u10 - zu° +c to evaluate the given integral in terms of x. 10 x(x + 2)8 dx…

A:

Q: If the order of integration is reversed for the double integral Sa ez+yYdydx, the integral will…

A:

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: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) YV 6 +…

A:

Q: The value of the double integral a x dn dy is 0,

A: To find ∫-aa∫0a2-x2x dx dy : ∫-aa∫0a2-x2x dx…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

A:

Q: evaluate the iterated integral.

A:

Q: Find the integral of t/(t^4+2) dt

A:

Q: The Particular Integral for (D² + 19)y = r is O Yp 응 500 O yp= (z) 19 O None O yp =

A:

Q: 2. Evaluate the given integral without change of variable. t3 + 1 dt VE (t + 1)

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) YV 6 +…

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

A: topic - definite integral

Q: Evaluate the integral. inegral 1  to 2 [(4 y2 -7y -12 )/ y (y+2)(y-3) ]dy

A: Given:                  ∫124y2-7y-12y(y+2)(y-3)dy   To determine:                    We can solve…

Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

A:

Q: 2. Evaluate the following Integral by using suitable method: 2y3 + y y4 + y2 + 1 dy -

A:

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

A: Given : ∫z2+x2+y33dt