(бх — 2)4 da — | f(u) du where (enter a function of æ) = n du dx (enter a function of x) (enter a number) a = b = (enter a number) f(u) = (enter a function of u). The value of the original integral is

Q: Evaluate the iterated integral. 8. 13 (X) (x + y²) dx dy 1/1

A: ∫-18∫13x+y2 dx dy

Q: Find the Particular Integral for the given differential equatiorn d²y dy +3- dx +6y =2x²+x+5 dx2…

A: using expansion,         (1+x)-1 =1-x+x2 -x3+...

Q: 4. The indefinite integral / (2r +1)e (z+1) dx equals A. e"(*+1) + C B. er(z+1) +C C. e*+! + C D. 2r…

A:

Q: Q.1 Find the integral of f 2 /x+ e* ) dx. - 3

A: We will find the integral as following.

Q: Q3/ Choose the correct answer to evaluate the following integral dx 1 1 o (1 – x*)ž 1- I = 4 r 2-1 =…

A:

Q: 13. Evaluate the given integral. ' x cost dt dx А. 2 В. О C. 1 D. x

A:

Q: dæ (xº + 2)² The integral is divergent.

A:

Q: 4 Suppose | f(x)dx = 6, f(x)dx= 5, and g(x)dx = 8. Evaluate the following integrals. g(x)dx = 7…

A:

Q: 2. Given that is a positive constant, consider the following function: f(x) = 3000 r-4, x > 10 (a)…

A:

Q: Q1: Evaluate the following integrals by substitution dx 1. e cos e*dx dx 3. J 2x- 3

A: Solve by substitutions

Q: 1 (a) Evaluate the integration of the following functions: x 2 +2 (i) (ii) fx*e*. dx

A:

Q: Q.1) Evaluate the following integral 2dx x (3(ln z)2 + 12 In r- 15)

A: The given integral is: I=∫2 dxx3 (ln x)2+12 ln x-512

Q: express L−1[F(s)G(s)] in terms of a convolution integral.

A:

Q: (a) z(t) = (2 +3i)(1 – t) + (4 + 7i)t, 0 st<1, (b) obtained by writing the equation of the line…

A: This is a problem of Complex line Integral.

Q: y= Ax) 12 18 24 Evaluate each integral by interpreting it in terms of areas. (a) (x) dx Enter an…

A: Given graph, The objective is to evaluate the given integrals. (a)∫06fxdx. From the graph it is…

Q: -3 2e4 Evaluate the given integral: Jo 1+e2x dx.

A:

Q: x² = 10) Evaluate the integral S dx, x > 3

A:

Q: B. Evaluate the following integrals: x-9 1) S- dx x2+3x-10

A:

Q: express L−1[F(s)G(s)]in terms of a convolution integral.

A:

Q: 3. Evaluate the given integral. d.x V1 – x

A: The given integral is ∫-1011-xdx. Let u=1-x. Then, du=-dx. The upper limit becomes u=1-0=1 and the…

Q: e2z Q5- The value of the integral . Sc Where C is Z =3 (Z+1)4

A:

Q: 5x+1 What is f'(x) given the integral function f(x) = S cos(e") du?

A:

Q: If 8 10 | f(2)dæ = f(2)da + I f(æ)dx - / f(x)dx, 4 8, 4 what are the bounds of integration for the…

A: Given information:-

Q: 1. Evaluate the given integral Q. -2 2y-2 -K² Q Jo 1 = (xy-1) dx dy

A:

Q: 1. Evaluate the given integral Q. Q = $₁² [² (2² Your answer (x² - y) dy dx

A:

Q: Find the indefinite integral.

A: ∫ exex+12dxSubstitute u =ex+1=∫ u2duApply the Power Rule:  ∫xadx=xa+1a+1,    a≠-1=u2+12+1Substitute…

Q: 9. Determine the integral of the given function f(t) = t – it? for 0<t< 2.

A:

Q: 2. Given that A is a positive constant, consider the following function: f(x) = 3000 x-4, x > 10 (a)…

A:

Q: 8. Evaluate the following integral A) e-2 B) e² C) e-¹ e-2t6(t-1)dt D) e E) 0

A:

Q: Given: ((x)dx Evaluate f(v2). There is a function f(x) such that when u = -x³, the resulting…

A:

Q: Q1)Evaluate the following integral: 2 1-x dx 1+x2,

A: 1 We have to evaluate the integral ∫021−x1+x22dx. Now,…

Q: 1 dx x² +1 e +

A: solution:-∫02ex+1x2+1dx=∫02exdx+∫021x2+1dx=ex02+tan-1x02=e2-e0+tan-12-tan-10=e2-1+tan-12     Ans

Q: Q(1) Find the integral of Vx² – 16 dx

A: Use substitution method to find its integration.

Q: Q.1) Evaluate the following integral dx (2e2 - 4ez – 1) |

A:

Q: If g(1)=−5, g(5)=9, and ∫from 1 to 5 g(x)dx=−8, evaluate the integral ∫from 1 to 5 xg′(x)dx.

A:

Q: 13. Evaluate the definite integral. 1 а. x6 b. (4x – 1)²dx = С. 7 du = Vu n. d. 2 e. (13 – t3). dt…

A: Here we have to evaluate the given definite integral.

Q: 8 If y' = x In a and y(e) = 4+ e, which of the following would be the constant of integration of the…

A: Given : y'=8xlnx and ye=4+e Let us solve the given differential equation ,…

Q: To evaluate the integral * dx we use the substitution e а. x2 1 O b. 1- x2 O d. x + 1 =t

A: Explanation of the solution is given below...

Q: Q.1) Evaluate the following integral ez dx (2e2 – 4e* – 1) - -

A:

Q: Q3: Find the integral for the following functions: - dx 1)) T2-2x+1 Vx2-2x+1

A: we want to find the integral for given function

Q: 5. Evaluate the indefinite or definite integrals: 1 arctan y e а) dy 2 1+ y 1 b) [ dx (Use Trig Sub)…

A: According to the question answer guideline the expert suppose to answer the first three subparts of…

Q: 22.9 Use numerical integration to evaluate the following: d.r Ca) (b) e- sin? y dy x(x +2)

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Find the Particular integral of the equation (D² + 2DD' + D² )z = e®-y

A:

Q: Evaluate the definite integral. *2 e 1/x* dx J1 +s

A:

Q: 10. Evaluate this integral: ,(t², t(t² + 1)³, te*) dt. You must show all your steps clearly.

A: We have to find the solutions

Q: 2. Show whether the ODE is exact and find and use an integrating factor if needed. (x² + y²)dx - 2xy…

A:

Q: Evaluate the given integral. 1 a) dx ² +x – 2 3 b) dr 3 – 9x2

A:

Q: y=2ln(x)−(x2/16) The integral that finds the length of the given curve from the point (1,(−1/16))…

A: