Use the Exponential Rule to find the indefinite integral. -9x -9e dx Step 1 To find the integral -9e -9x dxi let u = -9x. Therefore, du dx

Q: Consider the indefinite integral  ∫x6 • 3√x7-5 dx This can be transformed into a basic integral by…

A: Given indefinite integral is ∫x6·x7-53 dx                                    .....(1) Which can be…

Q: Evaluate the following integrals. 1. dx (9+ e²=)

A: The given integral,     ∫ex9+e2x32dx

Q: II. Perform the integration. sinh?(e-") 4. e# cosh(e-¤) dx

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Q: Evaluate the integral dx by making the substitution u = 5x². After substituting we have: (in terms…

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Q: In solving for the -dx, what technique is suited to solve for its integral? x²+1 A integration by…

A: Let I = ∫ x3 + 1x2 + 1dx = ∫x3 ( x2 + 1)dx + ∫ 1x2 + 1 dx, As we know ∫ 1( x2 + 1) dx = tan-1 (x) ⇒I…

Q: 6e6x Consider the indefinite integral /- dx: (ebz + 2)° This can be transformed into a basic…

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Q: 7e7z Consider the indefinite integral dx: (e7z + 5)" This can be transformed into a basic integral…

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Q: S sec? (;x + 4)dx ec²Gx

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Q: The value of L(e2t sinh(2t)) =

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Q: Consider the indefinite integral /- dx: (26 + 1)° This can be transformed into a basic integral by…

A: We have to find the integral

Q: a · Va? +1 dæ: 3 Consider the indefinite integral This can be transformed into a basic integral by…

A: We have to find the given integral.

Q: b) (x-1)3 1 dx = ?

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Q: - be-6x dx: - Consider the indefinite integral (e-6z + 5)3 This can be transformed into a basic…

A: We have, the given integral as I=∫-6e-6xe-6x+53dx Let us consider that,…

Q: Н. arccos 3x dx Evaluate the indefinite integral. , and (1-9x² • Identify what is the u=? and du=?…

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Q: Evaluate the definite integral (4x + 8x+1) dx where A is a constant greater than 2. (a) 4A3 + 8A –…

A: we have ∫2A4x3+8x+1dx   we have to evaluate this integral   and we have to apply limits…

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate.   ∫(10x 4−4x)dx=

A: Given,            ∫ 10x4 - 4x dx

Q: dr: Consider the indefinite integral (x4 + 9)* This can be transformed into a basic integral by…

A: Here by using substitution we have to find following integral,

Q: Evaluate the integral. .8 2 dx 2 dx =D (Simplify your answer.)

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Q: 1 x2 Consider the indefinite integral dx: (2³ – 2)³ This can be transformed into a basic integral by…

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Q: cos(π/x47) x48 I need to find the integral of this

A: The given integral is,

Q: ' sin³( 2x)cos(2x) dx by substitution, if u = sin( 2x) then what will be the resulting indefinite…

A: We can evaluate the given integral by using the substitution u = sin(2x).

Q: 1. 2²₂(3x-4)dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: II. Find the value of the definite integral xV[a2 – 9| +7 dx 0.

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Q: -2 What is the value of the definite integral e* dx? -4

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Q: 12x + 18 1. What is the indefinite integral of / dx ? x3 + 5x2 + 2x -8

A: According to our terms and condition i have solved first question for next question repost. The…

Q: Find the value of the integral e* cos x dx Select one: a4 n4 .2

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: II. Perform the integration. sinh?(e¬") dx e# cosh(e-¤) 2 4.

A: Put e-x=t then solve it.

Q: x(2x² – 1)" dx After substitution is performed, which of the following is equivalent to

A: Given, ∫14x2x2-17dx

Q: Evaluate the integral dx by making the substitution u = 5x2. After substituting we have: (in terms…

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Q: Determine how large the number a has to be so that 1 dx Submit Answer

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Q: (Boas, 2.11.12) In the following integral express the cosine in exponential form and then integrate…

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Q: Evaluate the following integral (Solve the problem by showing each & every steps properly) ∫ x2 e2x…

A: Given that, the integral I = ∫ x2 e2x dx To evaluate the given integral. Put u = x2    and    dv =…

Q: dx Find the indefinite integral of e +3

A: Definition used -                   Integral of an improper fraction -                    If we…

Q: Evaluate the definite integral I. 1 = [₁² [(e-x + 1) dx -1 I =

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Q: 2x -1 dy use gamma function fanceion Beta to Solve integrale

A: We have to find value of given Integral

Q: 6x Evaluate the indefinite integral. 6e sin (e) dæ U = du 9e9x dx %3D Substitution gives du…

A: u=e^(6x) is the right substitution for this problem

Q: -5e-5x 10. Consider the indefinite integral S dx : (e-5x+5)6 This can be transformed into a basic…

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Q: 7e7 dx: Consider the indefinite integral (elz + 5) This can be transformed into a basic integral by…

A: We need to substitution method

Q: Find the indefinite integral. | sinh(8 – 7x) dx Step 1 First, let u = 8 - 7 x. Now, differentiate u…

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Q: dx 8. Find the definite integral Ans:

A: Given integral  I=∫56x2-25x2dx

Q: Evaluate the definite integral. 27 dx 27 - 1 dx =O (Simplify your answer.)

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Q: Consider the indefinite integral x* + 9 dx. This can be transformed into a basic integral by letting…

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Q: - 2e - 2r Consider the indefinite integral dx: (e-2z + 4)° This can be transformed into a basic…

A: substitution method  solve integration

Q: Evaluate the integral xe5x? dx by making the substitution u = 5x2. After substituting we have: (in…

A: Use substitutions to integration

Q: Solve the integral shown below. Show your solutions. 3xe ²x dx

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Q: 2e2 Consider the indefinite integral dx: (e2 + 3)° This can be transformed into a basic integral by…

A: formula used

Q: Evaluate the integral. 13 dx +C NOTE: Enter the exact answer.

A: Here we will solve the given integral,

Q: Evaluate the integral / x e4x² dx by making the substitution u = 4x². After substituting we have:…

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Q: Evaluate the definite integral. (x^2-3)dx. a=-2, b=3. The original answer I got was 10/3 but it…

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Q: Evaluate the integral /2 I = dx. Hint: If you need to evaluate ſe² dx, don't! Try a slightly…

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