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

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

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Q: Use any method to evaluate the integrals

A: (57) We have the given integral as I=∫2x-2-x2x+2-xdx Let us consider that,…

Q: Which of the following integrals is equal to (3x-5) dr if u=3x-7? (A (u+2) du 8/3 -2 -1 / (u-2) du…

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Q: tan (In |4x2|) -dx is b in cos (In |(2x)*|)|+c. The integral of What is b?

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

A: Explanation of the answer is as follows

Q: Evaluate the definite integral exactly, using the Fundamental Theorem. 1 dt 72 1 dt 12 %3D eTextbook…

A: ∫151t2 dt

Q: Evaluate the indefinite integral. S csc² 3x v4cot3x – 5dx ,and • Identify what is the u=? and du=?…

A: Given:   Intergral is given

Q: 2. Evaluate the improper integrals of (a). In a dr OP -2 (0 + 1)3/5 (c) / re dr 4 da (4) r2 + 16

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

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Q: 6. Evaluate the fallowing real integrals by residue theerem 3 2计 I = Ssine -d8;a>l anse 2(a- Ja?1)

A: Given: I=∫02πsin2θa+cosθdθ, a>1

Q: Evaluate the integral of 2e2xdx from 0 to 1

A: Our Aim is to evaluate the integral given below:-∫012e2x dx -(i)

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

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Q: Evaluate this indefinite integral: 12t^7-t^2-t+3dt

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Q: Use a substitution of the form u = ax + b to evaluate thefollowing indefinite integrals.∫ cos (2x +…

A: ∫cos2x+5 dx Now put 2x+5=u Differentiating with respect to x, we get 21+0=dudx⇒2 dx=du⇒dx=du2

Q: Evaluate the integrals

A: We have to evaluate the integral ∫0π21-cos2θdθ We know that, 1-cos2θ=2sin2θ Therefore,…

Q: z · 3°dz

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Q: [(9)se x². d²+xdx + (x²-n²) y=0_ by substitution x== 1102 at 2 pt souhen Hence show that it has no…

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Q: The evaluation of the integral - de is +In 3 (C) 0 cos3e (i) 4 (ii) + In 3 3. (iii) None of these…

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Q: 55-х 5—х-у SS J dzdydx 0 0 0

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Q: 4.8 4.9 (ae' - bt) dt x(a + In(x))"

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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: I+1 dr.

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Q: 2x(x+, こメP

A: Solve

Q: Suppose that the trigonometric substitutionx = 3 tan 0 is used to compute an integral and the answer…

A: Simply use  resubstitution and replace θ in terms of x from initial trigonometric substitution.

Q: Evaluate the indefinite integral. dt I (t + 13)8 + C

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Q: Find the following indefinite integrals: (a) | 32* In(2r) dr (b) VI+3

A: To find the indefinite integrals: a) ∫3x2 ln(2x) dx b) ∫xx + 33 dx

Q: We now use the substitution u = x° + 8x and du = (9x° + 8) dx to convert the entire integral into…

A: We have to solve integration

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

A: We can find the answer as below.

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

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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: In evaluating dr by substitution, if u =x³+I then what will be the resulting indefinite integral in…

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Q: Evaluate the integral of 3dx/(2x^2 + 4) from 0 to 0.2 * O 0.412 O 0.211 O 0.189 O 0.316

A: Evaluate definite Integral

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

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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: 6. Evaluate the following real integrals by residue theorem 3 • I- 88 151 +47 O dx (x²+1)(x² +9) ans…

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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: Evaluate the indefinite integral. dt 6 (t + 13)° + C

A: Explanation of the answer is as follows

Q: -    ∫  (1/u) du                                                          5 / 4

A: The integral is given as, ∫011-2t1+t-122dt Apply the substitution  method,…

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

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

Q: V1+ vz dz

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

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Q: Convert + [²√¹²5² √²¹²²²³²²³² (x² + y² + 2² )dzdxdy into an (x² + y² + ²)dzdxdy √18-1²-² coordinate…

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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: 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.

Q: / (292 + 7)* - vz de. 5 Compute the integral

A: We apply u substitution

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

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Q: In the indefinite integral J 3x²e* dx, the integrand is A 3r © 3x2 D x³+C B.

A: The given integral,    ∫3x2ex3dx

Q: Find the general indefinite integral.   ∫ (u +4)  (2u +1)   du

A: