et dx 9 + e" Evaluate the integral using the substitution u = 9+ e". et dx 9 + e* +C

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A: To solve the improper integral

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Q: Use u-substitution to evaluate the integral. 3 + 5 Vx dx 3 2 + 5 Vx dx =O

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A: we have to compute : ∫dx2sinx+3cosx-5

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Q: S Vtan x sec“(x)dx Evaluate the integral a

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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Q: (b) Evaluate 1 (x-2)¹/3 dx by using properties of improper integrals.

A: b Given integral is ∫131x−213dx. We have to evaluate the given integral by using properties of…

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

A: To evaluate the given double integral.

Q: a) Use Trapezoidal and Simpson's Rule to evaluate the integral , (2x – 1)dx by taking n=4

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Q: Evaluate the integral 11-x²4-x²-y !!! 0 3 x dz dy.dx.

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Q: 4. What is the geometric relationship between the two integrals below? et dx, In x dx Evaluate the…

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Q: Evaluate the improper integral or show that it diverges. 9. S- dx 0 (20 - 4x)

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Q: Evaluate the integral by reversing the order of integration. 3 27 2e* dx dy

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Q: Evaluate the integral after changing the integral S's (in (x+y+ 1)dx dy -S1-ye

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Q: sketch, reverse and evaluate the integral dy dz 15

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Q: T/2 10 r = 8 cos 20 5 - 10 -5 5 10 -5 - 10

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Q: Evaluate the indefinite integral using integration by parts $3xe2=dx re - e +C ze +e +C ze +C 6xe2 -…

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Q: Evaluate the integral by reversing the order of integration. 1/2 cos(x) V9 + cos²(x) dx dy…

A: Answer to the question as follows:

Q: Use a double integral to find the area of the shaded region. 7/2 20 r= 9+9 cos e 10 - 10 -5 5 10 15…

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Q: (유) 6. dy dr Evaluate the double integral:

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Q: 26.Evaluate the integral by reversing the order of integration. a) 0∫1 3y∫3 ex2 dxdy

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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: Evaluate the improper integrals: (a): xe ,-x dx •4 dx (b) V4-x

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Q: Use a double integral to find the area of the shaded region. 1/2 10 r= 5+5 cos e -5 5 10 -10

A: The integral of a function is with respect to two different variables, so if f is a function of two…

Q: Use a double integral to find the area of the shaded region. n/2 10 r = 8 cos 20 5 - 10 -5 5 10 -5…

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Q: x? Use the residues to evaluate the improper integral: -dx . (x² + 1)(x² + 4)

A: According to the given information, it is required to evaluate the improper integral using residue…

Q: | 2°+Idal Vx² +1 dxl

A: The given integral is- ∫x3x2+1dx Let x2+1=u Differentiate w.r.t. x to both sides- 2x=dudxdu2=xdx…

Q: Evaluate the integral of (x^2)/(x^2 + a^2)^3/2 dx

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Q: Using only the definition of RS-integral, evaluate x* d[x]. 0.

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Q: intergrate the integral from 0 to 1 of (x^2 + x + 1)/((x+1)^2)(x+2)) dx

A: See the details solution in below

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Q: A. Improper Integrals Exercises: 1. dx

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Q: 2x2 dx /3 + x² Calculate the integral:

A: Given,          ∫2x23+x2dx

Q: 。vマ dx ナ○

A: To evaluate the integral: ∫1∞e-xxdx Solution: Let substitute t=x. dtdx=ddxxdtdx=12x2dt=1xdx When x→∞…

Q: Identify u and dv for finding the integral using integration by parts. (Do not evaluate the…

A: According to integration by parts,       ∫udv=uv-∫vdu Order of selecting u and dv is, 1) Logs  2)…

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Q: s(3x)dx, u=3X Scos(3) dx =?

A: We use substitution method to solve the integration.

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Q: Evaluate the integral -5earctan(y) - dy 1+ y?

A: We have to evaluate the integral.

Q: Calculate the integral, for y> 2. 'Y x² - 4x + 5 √₂ - (x² − 2x + 2) (x² − 1) dx,

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Q: sin'(x) cos(x) dx

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