If 5 y(u)du = and 5 | u(2)du what does the following integral equal? y(u)du =

Q: Evaluate the iterated integral. 8. 15 (x + y²) dx dy

A: When integrating with respect to one variable, consider other variable as constant.

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: do a double integral where x ranges from 0 to 1/2 and y ranges from 1/4 to 1/2

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Q: If 9. 10 f(2)dæ = /: | F(2)dx - / f(x)dæ, f(x)dx + %3| 3 9, what are the bounds of integration for…

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Q: 2. Suppose | 29(r)dr = 10. Using linearity properties of integrals, calculate | (g(x) + 3)dx. 3

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Q: Verify whether the function g(x) solution of the integral equation R P daft

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Q: 1 Suppose we perform the substitution u=3+Vx in the integral dx . I (3+ Vx)4 What is the resulting…

A: we have to find the given integral

Q: dr

A: Given integration is : ∫x2-9x3dx To find the value of integration.

Q: If - 1 | f(2)dr = | f(x)dæ + / f(=)dr - /. f(æ)dx, what are the bounds of integration for the first…

A: I have used the properties of integration

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: 3. Use substitution to find each indefinite integral. (a) S svs? + 4 ds (b) S(2 – x)e4x-x² dx -8x…

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Q: (sec2 x + csc2 x)cos2 x dx

A: Given: I=∫sec2x+csc2xcos2xdx   Use the trigonometric identity; 1). sinx=1cscx 2). cosx=1secx And…

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

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Q: If -2 5 [° f(x)dx = [__ * f(x)dx + [_^¸ ƒ(a)dx − [¯* f(x)dx, -8 what are the bounds of integration…

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Q: 2x3 dx 3x*+5 Evaluate the indefinite integral A In(3x*+5)+ C 12Inl2x히 + C 6ln(3x +5)+ C D 기nl2x히 + C…

A: The given indefinite integral is, ∫2x33x4+5dx Consider u=3x4+5 then dudx=12x3 and dx=112x3du.

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 integral from [1, e^3] ln^3(x^2) / x  dx

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Q: If 9. 3. 6. f(x)dx = || f(x)dz + 6. what are the bounds of integration for the first integral?…

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Q: What is the particular integral of the equation (D 2+9) y= x Cosx?

A: Use basic properties and formula, get PI of given equation.

Q: x²+2x+1 dx (x+2)(x−1)²

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Q: S B+1F dx (Improper Integral) (3x+1)?

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Q: -2 2x Jo x2-4 Só dx (Improper Integral)

A: Let I is the value of given Integral.

Q: ne following integral 2dr J r (3(ln r)2 + 12 In z- 15)

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Q: If 3 p(z)dz: -7 and Lple)dz = 4.7 what does the following integral equal? - 1 |. p(2)dz = -7

A: The objective is to evaluate the given integral.

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

A: This can be evaluated as follows:

Q: Evaluate the integral. integral    (  x 3 +1 )/ (x2 +1) dx

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

Q: Evaluate the integral of xe^(x^(2)) dx

A: To determine the value of the integral.

Q: 4). S§ dx (Improper Integral) Jo x-4

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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: Q/Evalute the integrals Vin3 dx dy 973 3. サーメ 2) dz dy dx 1 1-x 1 3.

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Q: Find the integral of the following indefinite integral equations: Jx dx / (5 + 9x4) Jx dx/v(16-9x4

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Q: 3 dx ° (x+2)/x+1

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Q: (1) [ Evaluate the indefinite integral by substitution: a+bx² dx 3ax+bx3 (2) / sec³xtanxdx T

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Q: 13. Find the integral using the u substitution method Jx(x+1)*dx

A: Solution of question as follow

Q: In 2X dx Find the integral of J!

A: Find the integral using substitution method

Q: 21.3 xdx V16 - 9х4 0.

A: We to integrate the given integration.

Q: If - 2 f(x)dæ f(x)dx + f(2)dæ – / f(x)dx, what are the bounds of integration for the first integral?…

A: We have to solve the integration

Q: Find the indefinite integral. 7x + 4e5x dæ ebx + 2e6x Integral = + C

A: Solve the integration .

Q: dx -> X-VX dx 12 X-(X) b.) =In (x-1x)?

A: Solve the given integral

Q: If g(1)=−5, g(5)=9, and ∫from 1 to 5 g(x)dx=−8, evaluate the integral ∫from 1 to 5 xg′(x)dx.

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Q: Solve the problem. Rewrite the integral 5(1 - z/6) 2(1- y/5 - z/6) dx dy dz in the order dz dy dx.

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Q: Q.4 Using the method of substitution the integral fxer-3 dx

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Q: If | h(2)dz = 4 and | h(2)dz = 9.1 %3| 1 what does the following integral equal? |h(2)dz = 4

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Q: If V (t) is the amount of oil in a barrel being filled at time t, what physical quantity is…

A: Let's find.

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: Evaluate the integral. integral    0 to 1     x  / (x  2 + 4   x  + 13 ) dx

A: Given integral is ∫01xx2+4x+13 dx. ∫01xx2+4x+13 dx=∫01xx+22+9 dx

Q: ∫y + 3/(3-2)^2/3 dy

A: ∫ y+33-223dySimplify: =∫ y+3dyApply the Sum Rule:  ∫fx±gxdx=∫fxdx±∫gxdx=∫ ydy+∫ 3dy=y22+3yAdd a…

Q: Sx (x² + 4)5 Se3*dx

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Q: solve the integral below please. y = 1 + ∫x0 2t(1+y2(t))dt

A: We will find out the required general solution.

Q: Evaluate the iterated integral. 2 4 (x2 – 2y2) dx dy 1 Jo

A: