1 Calculate the following integrals. Зг? + 1 dx (a) (b) (2e"/3+4 +5) dr (c) / (4sin r + cos a) dæ

Q: Evaluate the iterated integral. 4z (In(x) xe- dy dx dz J3

A: Formulae used∫e-ydy = -e-y + C∫x2dx    = x33 + C ---------------------------------------- I…

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

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Q: Evaluate the interated integral: LS-² x² sin(y) dy dx

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Q: S,(4y³ +-) dy y3.

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Q: Express the iterated integral in the opposite order. dy dx

A: First option is the correct option. Find the region of the integration graphically. The value for y…

Q: me result of the integral in 0 given | V ²– 25 -dy is 5 tane – 50 +C , y A) True B) False

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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: Can you help step by step please?

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Q: Evaluate the double integral of cos(x) with x from 0 to π/4 and y from 4y to π

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Q: .2 (3 – z)(3z + 1) dz

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Q: 2.) Evalvate the Integral ودل أاد-ل (x² _33² dx, .3 2 by making w - x²-3 NOTE: Answer should be in…

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Q: (3) Evaluate the line integral of the first type fez2 ds, where C: x = cost y = sint where 0 ≤ t ≤…

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: - Evaluate. tha..lloming.integrals.a.fter.reven.ing.the erder.af.integratium. TT siny dy.dx. Ans.g2.…

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Q: Evaluate the triple iterated integral.

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

Q: Evaluate the iterated integral. 5 (ху) dy dx

A: Topic = Integration

Q: Evaluate the integrals ∫cos (1 - ln y)/y dy

A: We have to find the integrals: ∫cos1-lnyydy We will find this integrals by substitution method Let…

Q: Evaluate the indefinite integral. 15y dy J(y – 4)(y² + 4)

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Q: 6) Use the successive approximations method to solve the following Volterra integral equation: u (x…

A: The Volterra integral equation is given as u(x)=x22-∫0x(x-t)u(t) dt. We have to solve the equation…

Q: 10 Why is J 5 Vx-5 11 =dx an improper integral?

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Q: Evaluate the iterated integral [² [² 2e3² dy dx by changing the order of integration.

A: The given integral is ∫02∫x22ey2dy dx In original integration, the integration order is dy dx. Our…

Q: Evaluate the double integral : 9. dy dx 0, 22

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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: ne following integral 2dr J r (3(ln r)2 + 12 In z- 15)

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Q: 4. Calculate the following integrals: 4 3 dx 1 – x2 dz 25z2 + 1

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Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

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Q: Sketch and evaluate the reverse integral 3. dy dz

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Q: Evaluate the Integral by changung the order of Integration in an appropriáte way. 4 3 5 Cos (x?) dx…

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Q: To find the arclength of y = 2x – 3 from = 0 to x = 4, which is the correct integral? OL = V1+ 4x²dx…

A: I have appended the formula used in the solution part.

Q: 15. Express c9-x² f(x, y)dy dx as an iterated integral in the or- der dx dy.

A: first, we will write an equation we have  y=0,y=9-x2x=-3,x=3 changing it w.r.t x we have…

Q: Evaluate the integral. V16-a? 1 dy dx dz = -V16-x2 (x2 + y?)1/2 -4.

A: We can solve as follows

Q: Evaluate the iterated integral. In 3 In 5 SS 3x+2y dy dx e 0 1 In 3 In 5 || 3x+2Ydy dx= 0 1 (Type an…

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Q: Depending on the real parameter p and q, what can you say about the result of the following im-…

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Q: 3+n (2x) dx By specifying the +ype of examine it by explainings conveyere integral, x --

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Q: 10. dx 1+cos 3x In(1+cos 3x) + C %3D - 3 _11. S 2(cos x)(sin²x)dx 2 + C 3

A: As you mentioned  only 10 & 11 solved

Q: 4. Determine the following integrals 4.2 - dx - a x

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Q: Find uhe integral y+ 2 dy

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

Q: 1+1 dz is 1+ z6 By comparison test, the improper integral

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Q: Which of the following is not an improper integral? 1 dx cos x 2 cos x dx | cos x dx 0. 1 dx cos x 2…

A: Given, The definite integrals We have to find the integral which is not improper.

Q: Solve the problem. Rewrite the integral 5(1 - z/6) 2(1- y/5 - z/6) dx dy dz in the order dz dy dx.

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Q: Evaluate the iterated integral. 14 Sxy ex dy dx 03 14 SSxy ex dy dx = [ 03 (Type an exact answer in…

A: Topic = Integration

Q: If | h(2)dz = 4 and | h(2)dz = 9.1 %3| 1 what does the following integral equal? |h(2)dz = 4

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Q: Evaluate the iterated integral. 9. .5 dy dx dz Jo

A: We need to evaluate integral.

Q: Evaluate the iterated integral. In 5 In 3 4x+2y dy dx e 0 1 In 5 In 3 | 4x+2y dy dx = 0 1 (Type an…

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Q: Evaluate the improper iterated integral. 9. x2 dy dx 1 + y?

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

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Q: Evaluate the iterated integral. 5 (бх — 10y) dy dx -1 5 (бх — 10у) dy dx%3 i

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Q: a) Compute these two integrals shown below using one application of trapezoidal rule and Simpson's…

A: Given that ∫23x dx ∫-66x2cosx dx we have to calculate given integral using  trapezoidal rule.

Q: 7/2 VI- cos z dy dx dz

A: The detailed solution is as follows:

Q: The value of the integral T/2 sin x dx cos(x)e- sin Jo is: Оа. 1-е-1 O a. O b. e- sin 1 O C. С. cos…

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