Find the partial integral. + 3y?) dy t.

Q: Evaluate the triple iterated integral. 2/2 xyz dx dy dz 0/ -1

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Q: The particular integral of (D – 1)y= x i,

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Q: Evaluate the iterated integral. dy dx dz z +1

A: Integrate as general

Q: Evaluate the integral (2x – y) dx + (x + 3y) dy along the path C. C: x-axis from (0, 0) to (0, -3)…

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Q: Find the complete integral and singular integral of z = px + qy+√√1+p²+q²

A: Given partial differential equation is z=px+qy+1+p2+q2. We have to find the complete integral and…

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: evaluate the iterated integral.

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Q: Find the integral of ³y²-y+1 f dy y³-y²

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Q: Consider the triple integral I = S S“(y² – 6z)dydzdx. -

A: ∫02∫x21∫0xzy2-6zdydzdx=∫02∫x21z3x33-6z2xdzdx=∫02x31-x812-6x13-x63dx=31.88888…

Q: Evaluate the triple integral S" S, sin y² dz dy dx.

A: We need to find the triple integral ∫03∫0π∫0ysiny2dzdydx. So,…

Q: (c) V9-x² dz dy dx 0 Jo

A: we have to find value of integration

Q: In (rle) sec³x (2– sec²x)«ma/2)sec³x What should be the value of A for dx to be integrable using the…

A: we have to find the value of 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 integral. Ay'dy 4y'dy y- 12

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Q: Find the double integral ∫∫R(2x^2−5y)dA, where R=[−1,2]×[1,3].

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Q: Evaluate the integrals

A: We need to find the integral.

Q: tan x dy S dx S 1+y?

A: Explanation of the answer is as follows

Q: Evaluate the integral: S S. 4 dx dy 0 y? 294 3 196 3 392 3 98 3

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Q: Evaluate the iterated integral f Só 6x²y° dxdy

A: Given:    ∫03∫02 6x2y3 dxdy

Q: Find the singular integral of z = px + qy + p/q

A: Complete integral

Q: raluate the double integral : (x + 2y – 2) dy da

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Q: Find the line integral of F =9xy*ï +(x² + 3),yj over the path L.

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Q: Calculate the iterated integral. 2/s+t ds dt

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Q: Evaluate the iterated integral. dy dx -3 9 7 dy dx i -3

A: Double integration

Q: Evaluate the double integral : 2 e2y+z dy dx

A: From the given problem;   I=∫06∫0x2e2y+xdydx .....1   Let,    I1=∫0x2e2y+xdy .....(2) Substitute;…

Q: For what value. of4, the fundion Ux)= I+dx is. solution of %3D the integral equation x3= Ut dt

A: We have to first transform the x variable of u function to t.

Q: Compute the integral fo S x cos(xy)dxdy

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Q: The line integral x dy – y dx Jc x2 + y? is independent of path.

A: Given integral is ∫Cxdy-ydxx2+y2.

Q: Given S J. 2. dy dx Rev erve the or der and ev aluate . Show Of Integration the region.

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Q: Evaluate the iterated integral Vy exp dx dy 0.

A: ∫14∫0y exydx dy = ∫14yexy0y dy                                       = ∫14ye - 1 dy…

Q: Find the integral. 5. S(2ri+j+k)dt 6. sec' ti+- -jdt 1+r

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Q: Use the local linear approximation of (1 – x)2º at xo O to estimate (0.99)2º. %3D

A: The linear approximation of f(x) at x0 is given by L(x) = f(x0) + f'(x0) (x-x0)

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

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Q: Evaluate the integral: 2+u du a) b) / e"V1+ ev dy

A: Evaluate: i ∫252+u3uduii ∫ey1+eydy

Q: Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 x"ea# dx = -x"eª* n…

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Q: Find the integral | 5y In y dy. 5y In y dy = +C

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Q: Find the partial integral. Y dy

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Q: 10 The double integral 2x dædy, where T is the triangle with vertices (0,0), (3,0) and (6,3), equals

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Q: dy J y3-2y2 у3-2у?

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Q: Evaluate the path integral between the points A = (1,3) and B = (2,5) of: B *(x²y + 2y)dy, with y =…

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Q: 2+ y²) dz dy

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Q: Calculate the double integral. ∫∫ ey ^2 dA, D= {(x,y)| 0≤ y ≤3, 0≤ x ≤ y}

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Q: Consider the integral x³+1 x³(x²+1) -dx What is the correct partial fractio OA Bx + C

A: We have to choose the correct option from the given options according to the given information

Q: b) Evaluate the iterated integral In z x e' dy dz dx 3 cx2 1 x,

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Q: Evaluate the double integral : re dy dx 4

A: Given,          ∫1e∫467xdydx

Q: Evaluate the iterated integral 3 In z x e' dy dz dx

A: Given,         ∫13∫xx2∫0lnzxedydzdx

Q: Evaluate the iterated integral. Py dx dy 8 I. x²y dx dy : i

A: Given:        ∫48∫02x2y dxdy     =∫48∫02x2y dxdy  integrate with respect to x     =∫48y∫02x2 dxdy…

Q: Evaluate the integrally.dy.W 6y+ 34

A: To evaluate

Q: A-Evaluate the following double integral - (x² + y²) dy dx fo

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…