Evaluate the iterated integral. 5 6 7 (x2 + y + z?) dx dy dz -5 0 0 5 6 7 // / +y? +? )dxdy dz = i -5 0 0

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A: We know that integration of xn is xn+1/n+1.     Here i attached the solution of this question.

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Q: Evaluate the iterated integral. 8 9 10 / // (x² + y² + z?) dx dy dz -8 0 0 8 9 10 /// ? +x² + z²…

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Q: S For x1/2 dx and using the substitution = x1/2, the resulting integral takes the form: x-x3 -du S-…

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Q: ·S- For x1/2 S- S. dx and using the substitution -du U 1-u² 4u -du 4u 4- (21²) ² U -du 1-u4 -du u=x…

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Q: -4 dx Evaluate the improper integral if it exists) x2 .1 8. .2 3 .3 - 12 .4 The improper integral…

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Q: 1- 2- 3- 3-Evaluate the integrals in Exercises: [ sect? (x - 1) dx sech² s sech Vt tanh Vt dt Vt…

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Q: 2. Evaluate the given integral. Submit a photo of your solution. y – 1 dy - (3y – 1)2/3 Your answer

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Q: 2. Evaluate the integrals. Va² + 16 (a) (HARD) dx. x2 (b) / u4 sin(u") du.

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Q: Evaluate the iterated integral. 4 5 6 (x² + y² + z²) dx dy dz -4 0 0 5 6 (x + y? + 2? )dx dy dz = i…

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Q: ·S S For S- x 1/2 -dx and using the substitution=x 1/2, the resulting integral takes the form: 4u…

A: To find the equivalent integral to the given integral- ∫x1/2x-x3dx using substitution u=x1/2.

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Q: 1. Evaluate the given integral Q. /9-y² Q 3r (2x - 2) dz dy dx

A: Note: As you asked solution for only Number (1) so, I answered here only Question (1).

Q: S- S- °S- S For x 1/2 x- U U 1-u4 4u dx and using the substitution -du -du -du 4u √4-(24²) 2 -du…

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Q: 1. Evaluate the given integral Q. 2y Q -ẢI (3=rs) 0 Your answer (3zx - y) dz dx dy

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: (a) Evaluate the following integrals: y=+2 x=+1 (i) [ (x+y²x² + y)dxdy y=1 x=0 4-2n 0=x/2r=2 (ii) -0…

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A: Since you have posted multiple questions i can do first question as per our company guidelines…

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Q: Evalua the iterated integral. 8. (x + y) dx dy -1J1

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Q: ‹S- A S Ⓡ /- © /- S- D For dx and using the substitution = x1/2, the resulting integral takes the…

A: Just use the substitution and find the required integral. Option (B) is correct.

Q: 2+2i What is the value of the-integral·I = S(z2 – 1)dz?1 1+i

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Q: 1. Evaluate the given integral. | h(x) dx, where h(x) (1 - a? if a > -1 = { Va +1 if a <-1 -2

A: ∫-20hx dxhx=1-x2       if x≥-1x3 +1   if x≤-1

Q: Q3/ 2. Evaluate the integral by using polar coordinate for: 1. Compute 1 1-x2 x I (x2 + y?)dz dy dx…

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Q: Evaluate the iterated integral. 5 6 7 ||| ? +y² + 2) dx dy dz -5 0 0 5 6 7 | || (1²+y² +²)dx dy dz =…

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Q: Evaluate the iterated integral.   6   2   x 2ye−x dy dx   1

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Q: x1/2 S dx and using the substitution = x 1/2, the resulting integral takes the form: x-x³ U A / du U…

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Q: ·S- For x 1/2 dx and using the substitution=x1/2, the resulting integral takes t U -du 1-u² 4u 4-4²…

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Q: Evaluate the iterated integral. 3 4 5 | /| (x² + y² + z²) dx dy dz -3 0 0 3 5 (x² + y? +z? ?)dx dy…

A: Application of integration

Q: H.W 7.2 Compute the following integrals: e+? + 1 + 4) x 1. 2x dx ex? + 4x² + x

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Q: dz (x2²–x³) 1/3dx Using the substitution *=-, dx= - the integral reduces to x3 (22– 1) 1/3 -dz A) -…

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Q: r6x³ + 3x² 51х — 30 dx Consider the indefinite integral 9 Then the integrand decomposes into the…

A: First  make the numinator in terms of denominator then find the value of a, b, c, d and the…