sy2-3x²+9 J. Tra St 2 Convert x - gy dzdydx to integral of cyclındri cal coordinatcs then evaluate

Q: Evaluate the iterated integral. 8 4 b²b²x + (x + y) dy dx

A: Given query is to find the value of the integral.

Q: 4 1 Replace the letter A in the integral J(2x³ + 4)* dx so that the integral evaluates to (2a3 + 4)°…

A:

Q: H.W: Evaluate the integral: 11-x 1 || | dydzdx 2. 0 0 x+z

A: Given: To Find: To evaluate the given integral.

Q: ate the integral. (Use C for the dx xV 4x* - 1

A:

Q: H.W: Evaluate the integral 3 0 | (x?y- 2xy)dydx 1. 0 -2

A:

Q: For the integral 4x /x + 8dx, if we use the substitution u = x + 8, we can rewrite the integral in…

A:

Q: (a) Evaluate the integral using the substitution u = In (5x). x In (5x) dx x In (5x) ? Edit +C (b)…

A: An integral in some cases can be simplified using a substitution. For example ∫ln(x)xdx with the…

Q: Calculate the double integral of f(x, y) = 5 – 8x over the triangle with vertices O = (0,0), A =…

A: Topic:- Application of integration

Q: Evaluate the integral (use substitution) xVx + Idx a. 3x + 2 +C 2Vx + 1 b. :(x + 1)² (3x – 2) + C 15…

A: Here, we need to evaluate the integral ∫xx+1dx ...(1)

Q: Calculate the double integral of f(x, y) = 4 – 8x over the triangle with vertices 0 = (0,0), A =…

A: Consider the function: fx,y=4-8x To sketch the triangle with vertices O (0, 0), A (3, 7), B (5, 7)

Q: -1 (2y а. 0. 0.

A:

Q: Calculate the double integral of f(x, y) = 2 – 8x over the triangle with vertices O = (0,0), A =…

A:

Q: dy Evaluate the integral| 2. y - 14y + 65

A: We first complete the square in the denominator and apply the formula:

Q: a+bx² dx V3ax+bx3

A:

Q: The integral 5x – y dA = 59 if R R={(x,y): - 3<x<- 1, 5<y<6}

A:

Q: 9) Evaluate the double integral of the function f(x, y) = 12x²y + 8x³ over the rectangle 0≤x≤ 2 and…

A:

Q: Evaluate the integral J 2x(x² + 6)¨ dx using the substitution u = x2 + 6. | 20 (a? + 6) " d.x +C

A:

Q: Evaluate the integral 50 fa* (z* – 6)" de by making the substitution u = x* – 6. %3D

A: Given integral, ∫x3x4-650dx Evaluate by substituting x4-6 for u in the given integral.

Q: Evaluate the double integral: A B D) 9|N 2 N|G m 100 3 8 •√x 1. √ √V 24 +10 2ydydx

A: Evaluating the double integral

Q: 4 Evaluate the iterated integral (2x + y)2 d 3.

A: we have to find

Q: Evaluate the integral. 9 17 1+ x2 dx V1- x2 +C

A:

Q: S (y + 3x)dydx Evaluate:

A:

Q: [25/² – 36 dz Evaluate the integral: (A) Which trig substitution is correct for this intearal?

A:

Q: Calculate the double integral of f(x, y) = 6 – 8x over the triangle with vertices 0 = (0,0), A =…

A:

Q: Evaluate the double integral: A B C D m|m NIG 2 2ydydx

A: You must have an idea of double integration to solve this problem. Option D is the right choice. The…

Q: -dr evaluate the integrals by substitution method J 2dx V2+r /2+x

A:

Q: Evaluate the triple integral: 3 ₂2 0 (x+y+z)dydxdz

A:

Q: Evaluate the integral da (8r +4)' 4)3 by making the appropriate substitution: u= dr (8r + 4)°

A:

Q: Compute the double integral p x'ydA over the domain D indicated as 0 < x < 3, x < y< 5x + 5. Use…

A: Given problem:-

Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

A:

Q: Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) II (x² – y²) dy…

A: To evaluate the iterated integral.∫02∫05x2-y2 dy dx

Q: 2x Evaluate the iterated triple integral ſo S“ S" 2xyzdzdydx. A 5 7 8 3 8 98

A: Triple integral is used to integrate functions of three variable over three dimensional region.

Q: 1 dz c+x2 c)

A:

Q: 1 dr. (x² + c²)2 c) Evaluate the improper integral {a = 2, b = 6, c = 3}

A: The given integral is  ∫0∞1(x2+c2)2dx

Q: 4. Evaluate the integral. (a) (2r-4r + VE) dz + 4x) dr

A:

Q: d.x (a) Evaluate the integral ; x In(4x) using the substitution u = In(4x). dx J r In(4x) +C -7x (b)…

A:

Q: Evaluate the double integral. 8xy2 dA,    D is enclosed by x = 0 and x = (4-y^2)^1/2

A:

Q: A. Evaluate the following integrals. 1. Sx 3dx 4x5+5 2. S- dp: x3 3. Sx Vx2 – 4dx

A: Sine you posted question with multiple subparts , as our guideline we supposed to answer only first…

Q: Evaluate the iterated integral. 2y 1²1,²% (10 + 8x² + 6y²) dx d 0 ly

A:

Q: Evaluate the triple integral.

A:

Q: 133 3. Evaluate the integral jjfxz (x*z+ y²+z² ktxdydz . XZ 000

A:

Q: 2 (c) | (20 (2x² Зх + 6) dx (d) / (x² + 1)2 dx

A:

Q: Evaluate the iterated integral. (Use symbolic notation and fractions where needed.) dx dy (x + 4y)3

A:

Q: Evaluate the triple integral: A 24 B 6 12 18 √₁³√₁² √²(x + y + (x+y+z)dydxdz

A:

Q: (a) Evaluate the double integral // : 2x + 3y² drdy. (b) If / 112 drdy+ 112 drdy 112e dydr, then…

A:

Q: Evaluate the integral. ƒ ƒ6(x³ - y³)²dA = □ (Type an exact answer.) R

A: ∫-11∫016x3-y32dA

Q: 3. Which integral should be evaluated using substitution? 9dx (b) dx 1+x2 1+9x2 (a)

A:

Q: 4 VI 2. Evaluate the integral: xy dydx. 2

A:

Q: Sds, C: rt) = (3r², r?), tel1,3] Which one of the following "regular" integrals represents the above…

A: Given: ∫Cxy3dS, C:rt=3t2,t2 ,t∈1,3