4. Find the integral in each part a) / (a* + VI)dr

Q: The value of the binary integral is e-xy dxdy . (where a, b are positive real constants) are

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Q: 1. Evaluate the integral using integration by parts 75/2 In x dx

A: The formula for integration by parts is Let, That implies,

Q: Find the integral of 2x4(1+x10)-1dx exactly. Show all working.

A: I = ∫2x41+x10-1dxI = ?

Q: r In(z² + 1) dar x² + 1

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Q: Evaluate the integral. '3 dt 1

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Q: 5. Determine if the integral is conve 0. exdx -1/2 V1-e 2x

A: Given query is to find integral converges or diverges.

Q: Evaluate the integral. 4 (5 - t)Vt dt

A: The objective of the question is evaluate the definite integral.

Q: e2 In(x) da

A:

Q: 2. Sketch the region of integration of the given integral Q in #1. Set up Q by reversing its order…

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Q: find a complete integral of q=3p2

A: Given that : q=3p2 It can be written of the form ,3p2-q=0                              ⋯1 Since 1 is…

Q: Evaluate the integral. In(9 x - 8) dx =| +C %3D

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Q: 2) Evaluate the integral S inx dr 2.

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Q: Evaluate the integrals ∫√(1 - 9t2) dt

A: the given integral is: ∫1-9t2dt

Q: Evaluate the integral by interpreting it in terms of areas: | (4 + 32) dz : %3D

A:

Q: Calculate the integral ∞∫−∞dxx2+4.

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Q: calculate the integral.

A:

Q: Evaluate the integrals in ∫2-θ dθ

A: Given integral is , ∫(2-θ) dθ

Q: (b) Evaluate the integral | xln xdx using by parts formula.

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Q: dr 5. 2 ?+3 2

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Q: 2. Use Cauchy's Integral formula, Evaluate the following • I= sin4z ,IZl= 3

A: I am attaching image so that you understand each and every step.

Q: 15. Evaluate the integral zVx² + y²dzdxdy by using cylindirical coordinates.

A: I have Provided this answer in step-2.

Q: 6. Find the integral Ssin’xdx.

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Q: Evaluate the integrals in ∫3 dx/3x - 2

A: We have to evaluate the integral ∫33x-2dx

Q: 2 Write ftan² x sec⁹ xdx as a sum of integrals of odd powers of secant or cosecent. Start with the…

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Q: Evaluate the integrals

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Q: (1 + 1)² – 1 , dt

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Q: Consider the integral 2 6z² In(z) dz

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Q: The value of The binary integral is dxdy Luherea andb positive 80 -xy real constants) be

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Q: Evaluate the integrals. In 3 6tei + Te'j+ 2 ln tk dt 18(In(3)-1)i+7(3-e)j+2(In(3))(

A: Topic- integration

Q: Use the form of the definition of the integral given in Theorem 4 in section 5.2 to evaluate the…

A: First integrate the function x2+7 with respect to x using the power rule of differentiation.

Q: 7)In(6) dx

A: The objective of the question is evaluate the indefinite integral.

Q: Evaluate the integral a"(2* - 3) "de, 19 by making the appropriate substitution: u = 19

A: The given integral is ∫x3x4-319dx

Q: Evaluate the integral.

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Q: Evaluate the integrals

A: Given information: ∫141ti+15-tj+12tkdt

Q: Evaluate the integral of cos^2 ydy

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: xdx 3 —х

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Q: Evaluate the integral. (In(5æ))² dx +C

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Q: Evaluate the integral. 25 In y 16

A: Given that: ∫1625lnyydy

Q: 8. S(1- sec3x)²dx

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Q: Evaluate the integral. ∫π/6  π /2 Cot2x  dx

A: The given integral is y=∫π6π2cot2xdx A function can only be integrable if the domain is defined.…

Q: evaluate the integral by interpreting it in terms of areas

A: The function is plotted as per given limits and it can be broken down into two triangles:Blue and…

Q: 3)(2x-ズ) ax

A: First I have split the integral in two parts then just use the rule of integral and find the…

Q: Evaluate the integral * » In 4 coth x dx In 2

A: In this question we have to solve this integral.

Q: Evaluate the integrals

A: We have to evaluate the integral ∫33dt3+t2 We know  ∫dxx2+a2=1atan-1xa

Q: (a) +8+16

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Q: 17Va – 36 Evaluate the integral: -de

A: Given,          ∫17x2-36x4dx

Q: Calculate the integral ∞∫0dxx2+16.

A: These are called improper integrals so in this case,…

Q: Evaluate the integral. 81 In y 64 Vy

A: