(e) Evaluate the following integrals. Sx: Sx sin vx2 + 1 dx (i) (ii) =dx Vx2-2х-8 cost (iii) 2+cos(sin t) at

Q: Evaluate the double integral : (y – 10x) dx | dy

A: we will integrate first inside the bracket with respect to x taking y as constant and then we will…

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

A: Value of the giveen integral is

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Q: b) Calculate the following integrals x²(3x³ + 2)²dx (i) (ii) sin3x e³x dx (ii) (2x22+₁ +*²+2) dx S…

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Q: (x + y) dx dy Jo Jy/2

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Q: y'dy Evaluate the correct integral of Vy²+4

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Q: I. Evaluate the following integrals. 1. Sx sin 3x? dx tan y 2. S dy 1-tan²y 3. S sec?(3 – 2t)dt

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

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Q: Q2/ Evaluate the integral: 6. xe' dy dx by changing the order of integration.

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Q: Q2) - Evaluate the integrals: V16-x 2. 3. SA dx 4. S Vx2 +1 dx dx

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Q: Evaluate the line integral (-3x+y)dx + (x + 3y)dy, where C lies along the x-axis from x = 0 to x = 6

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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: .2 Integrals of the form V1+4x? dx

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Q: Evaluate the double integral: To L 0 y x7 +1 y¹/3 x7 dx dy.

A: The given integral is: I=∫08∫y132yx7+1dxdy   So, The limit of the x varies from y13 to 2. The limit…

Q: how to solve problem in photo attached

A: Substitute x = t2 in the given integral and so the limit varies pi/2 to pi.

Q: The integral 1 = [(x* + 5e* + vx )dx is equal to:

A: Given integral is∫x4 + 5ex +x dxevaluate....

Q: Q3) Evaluate triple integral , S S2(x² – y²)dz dy dx .

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Q: Reverse the order of integration and then evaluate the integral. 5 5 sin y dy dx 0 x

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Q: 2x f²f²² (x² + 2y³) dy dx. Write the iterated integral in the previous item using the order dx dy.

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Q: Use numerical integration to evaluate the following: dx (b) e-" sin y dy 2 x(x + 2)

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Q: Evaluate the double integral : (y – 8x) dæ| dy

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Q: Q3: Find the integral for the following functions: - 1 dx 1)S- Vx2-2x+1 2) S 3cotx csc² (x)dx 3)…

A: Note: Since you have posted multiple questions. We will solve the first question for you. If you…

Q: Evaluate the double integral : (y° – 10x) dx| dy

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Q: 1 x 5xy dy dx 0 x2 ate the double integral.

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Q: Evaluate the integral: x sin(y) dy dx

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Q: What is the particular integral of the equation (D 2+9) y= x Cosx?

A: Use basic properties and formula, get PI of given equation.

Q: Evaluate the triple integral ∫ 2 to 0 ∫ 2x to 0   ∫ ln x to 0 xe^−y dy dx dz

A: The given integral can be written as: I=∫20∫2x0∫lnx0xe-ydydxdz…

Q: too S. dx b +, X

A: ∫0∞ dxx2+9Formula:∫dxa2+x2=1a tan-1xa +C

Q: L x(1 – 2r*)° dx

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Q: Evaluate the double integral: To S20 sin(2³) V (Hint: Change the order of integration to dy dr.) -…

A: We have to find value of given double Integration.

Q: Show that u (X ) = 3X+ 2x is asolution to the integral equation 3(1+x)? X - S sinh (x-t) ultJ dt

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Q: B)Evaluate the integrals: i) S ii) f/2/2 x 2² siny dz dy dx. rdrde,

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Q: 1- xy dy = 0. 1+ xy

A: 1+xyx2y.dx+1-xyxy2.dy=0 (Now multiply both sides by (x2y2) ): y1+xy.dx+x1-xy.dy=0 or,…

Q: Evaluate the double integral. (x - y) dy dx (x + y)3

A: To compute the double integral, ∬f(x,y)dydx, first integrate the function with respect y, while…

Q: A/2 x+! I Į sin x dy dx -1 0 96.

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Q: )Reverse the order of integration and evaluate the integral dy dx y2 +1

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

Q: Reverse the order of integration and then evaluate the integral. sin y dy dx 0x y O A. 1- cos 9 O B.…

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Q: 3. ( ) The integral f S, sin(y²)dydr cannot be evaluated since f sin(y³)dy is not an elementary…

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

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Q: Evaluate the integral. 2 Зл Зл y sin z dxdy dz 0 0 0

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Q: Set up an integral that represents the length of the curve. = sin²(t), y = 1 –- 3 sin(t), 0 <t < T…

A: The given problem is solved below.

Q: e for (2x + 1) cos(x) dx. 14. Use integration by parts to evaluate

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Q: Estimate the value of the definite integral + 2) dx by using the Trapezoidal Rule. (Round your final…

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Q: dx dy Cvaluate the iterated integral: 1+ xy

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Q: Which of the following integrals represents the length of the curve y = 2", 0<x < 3? 3 А. 1+ 22x dx…

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Q: a) Find the integral 3x7 dx dy . Vr – x2 -

A: Given, the integral is Here y = 0 and y = 1 and x = Öy and x = y2.

Q: 10 cos(x) Evaluate the improper integral: / dx Vsin(x) а) 30 b) O20 40 c) 3 d) Odiverges e) 10

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Q: a. Sx² e3*dx b. St sin t dt

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Q: V.r dx.

A: The given indefinite integral is: ∫xx-x23dx

Q: Find a particular integral for d^2y/dx^2+dy/dx= sin x

A: