In evaluating (2r+3)Vx+ 2 dx by substitution, if 4=x+2 then what will be the resulting indefinite integral in terms of u and du? 2u du du du du

Q: Evaluate the integral. (Definite Integrals 6 r dr 15) V16+ 3r2

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Q: In evaluating / (2x – 3) Vx– 2 dr by substitution, if 4 =x - 2 then what will be the resulting…

A: Given : Indefinite integral ∫2x-3x-2 dx   To find : Resulting indefinite integral by substituting…

Q: tan (In 4x) cos (In |(2x)"|)|+C. what is b? The integral of dx is b In A B 2 4 4

A: Given :  ∫tan(ln|4x2|)xdx=bln(|cos(ln|(2x)a|)| +C   To find : Value of b

Q: ) Evaluate the integrals of the following; i) ,( + cos x)dr 1+cos 2t dt ii) 2 iii) [(3x +2)(3x?…

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: Find the general indefinite integral. 8v(v² + 9)² dv

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Q: In evaluating / * sin3(2x) cos(2x) dx by substitution, if u = sin( 2x) then what will be the…

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Q: Evaluate the given integral with suitable substitution : 5z 10r (20 + 20) dr

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

Q: 3x2 dr. In evaluating by substitution, if u =x+1 then what will be the resulting xP+1 indefinite…

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Q: Find the complete, singular and general integrals of p3 + q3 = 27z. %3D

A: We have to find the complete, singular, and general integrals of:  p3+q3=27z

Q: ₁√x³ √4-x² dx. if we let z = √√4-x², which of the following integrals is correct using rationalizing…

A: The given integral,        ∫x34-x2dx

Q: (a) Define a substitution variable u and write / x(x +1)*dx in terms of u. Do not solve the…

A: detailed solution is given below

Q: In evaluating 2x – 1 dx by substitution, if 4=2x – 1 then what will be the resulting indefinite…

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Q: (In(z))² dz: Consider the indefinite integral This can be transformed into a basic integral by…

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Q: For 1/2 U -dx and using the substitution -du -du 4u √4-(2u²) ² 4u du -du 1/2, the resulting integral…

A: In this question, we want to know the Integral form after substitution.

Q: Evaluate the indefinite integral. Sa V1 - a? dæ cos° 0 – cos 0 +C 3 - 5/2 (1-22)이2-3 (1- 22)이2 +C. |…

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Q: In evaluating J*Vx+2 dx by substitution, if 4 =x+2 then what will be the resulting indefinite…

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Q: In evaluating 2x -1 dr by substitution, if u =2x – 1 then what will be the resulting indefinite…

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

A: We can rewrite the given integral by using this substitution u = x1/2

Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫(x + 1)12…

A: Given: ∫12x+1dx for evaluating this integral we substitute u=x+1 now differentiate both side with…

Q: 3T en: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (").

A: Given query is to find the indicated function.

Q: 6. Evaluate the fallowing real integrals by residue theerem ? dX ニ ans : こ。(X+a?)2 493 • I- ans B 12…

A: Let's find.

Q: Evaluate the integrals

A: We have to evaluate ∫0π1-cos2θ dθ We know that sin2θ+cos2θ=1 ⇒ 1-cos2θ=sin2θ Therefore,…

Q: 1. Find the following indefinite integrals: 1 du b. fcos uchu = а. 1 fa'du- d. . du - с. 1+u? f. f-…

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Q: In evaluating / (2r+3) V+2, by substitution, if 4=x+2 then what will be the resulting indefinite…

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Q: 1) The following formula is entry #26 in our textbook's Table of Integrals. u? du ="Va" +u° -…

A: Given the integral ∫x225+x2dxWe need to use the formulae ∫u2a2+u2=u2a2+u2-a22ln|u+a2+u2|+C

Q: In evaluating x(4– x)³ dx, if we substitute that u=4- x, then what will be the resulting integral in…

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Q: In evaluating /(3r2-1)2 dr by substitution where =3r2-1, what will be the resulting indefinite…

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Q: 2. Evaluate the indefinite integrals: D = tan r secʻ r dr 8x + 7 dr 72 +1 E = - 2dr F = dr V9 - 36x2

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Q: 1. Find the following indefinite integrals: a. G b. fcosudu = 1 c fa'du=- d. Jitu du = e. fsecu…

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Q: Evaluate the indefinite integral. (- 23е* + 3)е* -dx J (9e" – 7)(7e* + 2)

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Q: In evaluating z(4– 2)šdx,if we use the substitution that u = 4– 2, then what will be the resulting…

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Q: In evaluating | x(4 – x)3dx , if we use the substitution that u = 4 – x, then what will be the…

A: Indefinite Integration using substitution

Q: In evaluating x(4 – x) 3 dx, if we substitute that u=4-x, then what will be the resulting integral…

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Q: Determine the definite integral of: * L(2 + 52) ei- d - 415.8419 - 39 + 51e^2 O 39 + 51e^2 O…

A: As per honor code, we are entitled to solve only 1 question at a time so I am providing the same.…

Q: 3x2 dr In evaluating by substitution, if u =x+1 then what will be the resulting indefinite integral…

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Q: In evaluating x+2 dx by substitution, if 4 =x+2 then what will be the resulting indefinite integral…

A: We will evaluate this as shown below

Q: In evaluating / *sin³(2x)cos(2x) dr by substitution, if u = sin(2x) then what will be the resulting…

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Q: Question 20 In evaluating |x V4-x dx by substitution, if u =4-x then what will be the resulting…

A: We have to find out the integral

Q: Suppose we perform the substitution u=1+Vx in the integral dx . (1+Vx)5 What is the resulting…

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Q: Evaluate the 2 222 $² ne dn integral

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Q: In evaluating | *sin3(2x) cos( 2x) dx by substitution, if u = sin( 2x) then what will be the…

A: Here we have to convert the indefinite integral in terms of u and du of the given integral.

Q: In evaluating /x V4- x dx by substitution, if 4 = 4 – x then what will be the resulting indefinite…

A: ∫x4-x3dxu=4-x→dudx=-1→du=-dx

Q: In evaluating /x V4-x dr by substitution, if =4-x then what will be the resulting indefinite…

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Q: In evaluating x+2 dx by substitution, if u =x+2 then what will be the resulting indefinite integral…

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Q: 1 (x² +a) b dx is In 5x The resulting integral of +eTan-1 + C, where a, b, d, and e are integers. x³…

A: Given:∫5xx3+x2+4x+4dx= ln⁡x2+a1bx+d+eTan−1⁡x2+C Let, I=∫5xx3+x2+4x+4dx ⇒I=∫5xx2(x+1)+4(x+1)dx…

Q: In evaluating x(4 – x)3 dx , if we use the substitution that u = 4– x, then what will be the…

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Q: In evaluating | *sin3(2x) cos(2x) dx by substitution, if U = sin( 2x ) then what will be the…

A: First we put sin(2x)=u and then differentiate both sides with respect to x and solve it. 2cos…

Q: THIS BE SOLVED ANALYTICALLY? SO, HOW? (a=0.75 STILL) dy=ay (1-2y). 6y³ - dt 4y³+5 SET UP THE…

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Q: In evaluating sin³( 2x)cos(2x) dr by substitution, if 4 =sin(2x) then what will be the resulting…

A: By the given substitution we can solve it.