Evaluate the integral a* (a* – 4)"da - by making the substitution u = x* – 4. + C NOTE: Your answer should be in terms of x and not i

Q: 3 4 dx x2 + 9

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Q: dx Evaluate the integral V1 + 9x² 1) Which substitution will change the integral into one of the…

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Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

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Q: d.x (a) Evaluate the integral In(8x) using the substitution u = ln(8x). d.x +C T In(82)

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Q: Evaluate the integral using the given substitution. Show your analyses on scratch paper showing…

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Q: 2x Evaluate the improper integral dæ, if it exists. (x2 + 64)2

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Q: Evaluate the integral *(* – 10)"dz 6 by making the substitution u = 1 z° – 10- +C

A: ∫un du = un+1n+1+C ; where 'C' is an integration constant.

Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫e3x + 1 dx

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

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Q: Evaluate the integral of (t2) / √(1+t2 )with respect to t.

A: It is given that, f(t)=t21+t2 It is known that, ∫1(x2+a2)dx=logx+x2+a2+c and…

Q: Evaluate the integral. dx A) In x4 +c B) In x4? + c c) In x4? +c -(In D) -+c In x4

A: Here we will substitute ln x4 = u to solve this integration.

Q: Evaluate the integral 48 °dz, by making the appropriate substitution: u - 48

A: Explanation of the solution is given below...

Q: Hi, I was wondering how to do this and what the work would look like. thank you!

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Q: Evaluate the integral by making the given substitution. dt u = 1 - 7t (1 – 7t)6' -

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Q: Evaluate the integral. 1 ds V5s - 9

A: Given,         ∫15s-9ds

Q: Evaluate the integral. | | zy dk dy -3 - 10 O A. 0 O B. - 864 O C. - 576 O D. - 432

A: Here we are given the integral  I=∫-33∫-1022y dx dy

Q: Q.5 Evaluate the integral with the aid of the formulas 5,6, and 7. dt 9-4t2

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Q: Evaluate the integral 3 -x a. So Sox² exy dydx 0

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Q: 1. Use formal substitution to find the indefinite integral (a). de f(-6a) (r-3) de (b)

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Q: II EVALUATE THE ITERATED INTEGRAL. Ll'/x+ydxdy

A: The integration of the√(x+y) and the limit of x from 0 to 3y and limit of y is from 0 to 1.

Q: dydr 13. Evaluate the double integral J, J, o x²+7 a, In 10 b. In 10-In 7 а. c. In 11 d. In 11+In 7…

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Q: Evaluate the integral. J1/v3 1 + x² xp

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Q: 4t dt 2 - 812

A: To find the given integral integration (3 to 5) 4t/(2-8t²) dt

Q: Q2/Evaluated the integrals v2 1- f– (1-v2 )2

A: The integration of v2/(1-v2)5/2.

Q: Evaluate the integral. 3t-2 clt to t +1

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Q: The integral of x²Inx with respect to x is; A -(3lnx+1) +C ® (3lnx – 1) +C © 3lnx – 1) +C 3 D -(Inx…

A: Product rule of integration : ∫u.v dx = u∫v dx -∫dudx∫vdxdx dlnxdx = 1x ∫xn dx = xn+1n+1 +C In…

Q: yz dxdzdy -126 -84

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Q: Evaluate the integral.   ∫13 r3 In r dr

A: The integral given is ∫13r3lnr dr. Solve the integral by integration b parts, ∫ fx gx dx= fx∫  gx dx…

Q: Evaluate the integral 0 2 0 2-x xdydx.

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Q: Evaluate the improper integral t* e-2t 3+e-4t at

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Q: Evaluate the integral: J22 SVA-2 01- [] π [] +C dydz 4-2² e² +²

A: double integration using polar form

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

A: The given integral is ∫x3x4-319dx

Q: Use residue theory to calculate the following integrals: 3x 1. Loo (x² + 49) (x² − 2x+5) (a) P.V. dx

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Evaluate the integrals

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

Q: Find the general indefinite integral. √ (9 -1) (4 +1²) dt

A: Solution of given question is written in below steps.

Q: Evaluate the integral. r3 3 cosh(t) dt 30.05

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Q: Evaluate the integral: -2 y√2y-y²dy

A: A detailed solution is given below

Q: Evaluate the integral ∫√(3 - 2s) ds

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Q: B. dx (9-22)²

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

A: ∫-11∫016x3-y32dA

Q: Evaluate the integral 19 - by making the appropriate substitution: u = 19 3) %3D NOTE: Your answer…

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Q: Evaluate the iterated integral: - 7 -X = S S e-* dydx е 8

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Q: Evaluate the integral of ((x dx)/(x + 1)8) from o to 1.

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

A: Given,          ∫17x2-36x4dx

Q: Evaluate the integral fos√²²-1 f√²-1. 2x by first rewriting in the order dxdy. Enter the numerical…

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Q: Evaluate the integral.   The integral from 1 to 4 of e^(4/x)/x^2dx

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Q: Evaluate the integrals in ∫2 t e-t2 dt

A: Given:2∫ t e-2t dt

Q: Evaluate the improper integral .a-2 dz. 1 dr. (4-a)2

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Q: Evaluate the integral of ax^2 e^bx dx assume a and b are constants.

A: Please see the explanation below