Evaluate the integral by making the given substitution. dx (3x + 14)4 u = 3x + 14

Q: Evaluate the integral (2æ + 6)(x² + 6x + 9)*dx by making the substitution u = x? + 6x + 9. + C

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A: Integrate the given integrand x/x4+2x2+2 by completing the square method

Q: Evaluate the integral by making the given substitution. Sx x +2 dx, u = x³ +2

A: The given integrand is  x2 (x3+2)1/2

Q: g+y= 쓸 - zxe - 5

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Q: Evaluate the integral by making the given substitution. + 20 dx, u = x³ + 2o

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Evaluate the integral by making the given substitution dx, u = x³ -6 -6

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Q: Evaluate the integral a* (a* – 4)"da - by making the substitution u = x* – 4. + C NOTE: Your answer…

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Q: 1. S 3ln x2 dx

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Q: Evaluate the integral by making the given substitution. dx u = 7x + 8 (7x + 8) '

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Q: The integral can be rewritten as 6u³ (a). u + 1 6u4 (c). u² + 1 :). -du du dx 3³√x + √√x 派 派 6u² u²…

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Q: dx 2. S х2—х

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Q: 2 dx a) Evaluate the integral by completing the square and using a substitution 2 x2-6x+10

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Q: (a) Evaluate the integral using the substitution u = In (5x). x In (5x) dx x In (5x) ? Edit +C (b)…

A: An integral in some cases can be simplified using a substitution. For example ∫ln(x)xdx with the…

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

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Q: Evaluate the integral |x'(x* – 7)6 dx, by making the substitution u = x* – 7. +C Note: Your answer…

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Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer. ○ 응z + 3z + C O 2x5 + 3x +…

A: ∫xndx=xn+1n+1+C , C is a constant and for any real number n.

Q: Evaluate the integral. (Use C for the constant of i 4x2 + 3x + 4 dx (x² + 1)2

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Q: Evaluate the integral (* - 11)"dz, by making the substitution u = x* – 11. + C

A: We will solve this integration by substitution

Q: Evaluate: 2 1 dx x7 The integral is divergent.

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Q: Evaluate the integral by making the given substitution. x-Vx3 + 10 dx, u = x3 + 10

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Q: -dx x2+x-6 xp* C. 13 D. the integral is diver A. 4 В. 6 A

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Q: Evaluate the integral by making the given substitution. dx u = 7x + 4 (7x + 4)3 + C

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Q: Evaluate the integral by making the given substitution.   ∫ x2  √( x3  + 1)    dx , u =  x3   +1

A: The integral formula to be used are: ∫xn dx=xn+1n+1+C, where C is an integral constant. The integral…

Q: Evaluate the integral f 2x (x? + 5)° dx using the substitution u = x2 + 5. 2x (x² + 5)° dx +C

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Q: Evaluate the integral by making the given substitution.   ∫ x3(2 + x4)5  dx , u =2 +x4

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Q: Find the value of the integral T x² da (x²+9) (x²+4)²

A: To find- Find the value of the integral ∫-∞∞x2x2 + 9x2 + 42 dx

Q: Evaluate the integral. .2 5) t + dx t 1

A: Given,   ∫12t+1t2dx

Q: Evaluate the integral by making the given substitution. dx u = 3x + 9 (3x + 9)3 + C

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Q: Evaluate the integral *(2* – 3)*da a* – 3)' by making the substitution u = x* – 3. | +C

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Q: Evaluate the integral by making the given substitution. x³(10 + x*)7 dx, u = 10 + x4

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) xp…

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Q: Use the substitution formula to evaluate the integral. dx 1. 22 11 11 O00

A: Solving the problem by substitute method.

Q: Evaluate the integral.

A: ∫x24-x232dx Put, x=2sinθ⇒1=2cosθ·dθdx⇒dx=2cosθ·dθ

Q: Evaluate the integral x(x – 5)7/2 dx by making the substitution u = x – 5.

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Q: 3. Use the table of integrals to evaluate dx and give the following information: V9x2 -25 a) Which…

A: We have to find solutions

Q: Evaluate the integral. -20e* – 42 e2x + 5ex + 6

A: To Determine: Evaluate the given integral

Q: Evaluate the integral, then find 1- 3a. w – 1 dw - = w + a ln (w+ 1) + C w + 1

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Q: (p) / V5– ² dx.

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Q: Evaluate the integral 17 a* (x* – 3)"dæ by making the substitution u = x* – 3. +C NOTE: Your answer…

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Q: dx 41. The following integral . (2x- 4) is improper

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Q: 11 dx Evaluate the integral: , (5æ+6)² 11 55

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Q: Evaluate the integral of (e^x)^(1/2)

A: Given the integrand (e^x)^(1/2) Evaluate the given integral using u-substitution method. Let

Q: | Væ – 2 dæ 2

A: Given: I=∫26x−2dx

Q: Evaluate the integral

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Q: Evaluate the integral f 9(√x² + y²) dxdy.

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Q: Evaluate the integral m(x) dx x2

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Q: 3. Which integral should be evaluated using substitution? 9dx (b) dx 1+x2 1+9x2 (a)

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Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it,

Q: Evaluate the integral . Identify the u and the du. (5x2  +  1 )2  (10x) dx

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Q: The integral can be rewritten as 6u³ (a). [√ 小 1+1 6u4 (c). Su u² + 1 - du du dx √x + √x S 6u² u² +…

A: Given:       ∫dxx3+x     Prepare for substitution:        =∫16x56·6xx6+1dx  substitute…