Consider the indefinite integral a. Va + 9 dæ: This can be transformed into a basic integral by letting o and du o dæ Performing the substitution yields the integral du

Q: Evaluate the following integral by interpreting it in terms of area. 4x 4) dx 5 Submit your answer…

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Q: Consider the indefinite integral dx: (2 + 9)° This can be transformed into a basic integral by…

A: To find the following integration of the given function  f(x) = x5/(x6 +9)6

Q: Write an equivalent integrals for the .function f(x,y)=4x+y for the following base (2,4) y= 2x y =…

A: Proceed as shown...

Q: Evaluate the given indefinite integral. Indicate u, n, and du. ((e-4)de (0+5)

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

A: Taking substitution

Q: Consider the indefinite integral - dr: J (2³ + 4)³ This can be transformed into a basic integral by…

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Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx хах 3-x

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Q: Consider the indefinite integral dx: (26 – 8)° - This can be transformed into a basic integral by…

A: A detailed solution is given below.

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

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Q: Consider the indefinite integral le*+3 dx: a) This can be transformed into a basic integral by…

A: Explanation of the answer is as follows

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

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Q: Consider the indefinite integral dx: (x² + 2)? This can be transformed into a basic integral by…

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

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Q: With the substitution u = In(x), the indefinite integral becomes 28 28 28 du. dx = Je x(In(x))P uP

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Q: i) In order to evaluate the integral In(307) ex I = Jin(200) dx 6+e* we put u = 6+e then du = dx and…

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

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Q: Write the integral as a sum of integrals without absolute values and evaluate: Leis | cos x | dx =…

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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: Consider the indefinite integral 5x+6 dx: a) This can be transformed into a basic integral by…

A: Given ∫e5x+6 dxLet u=5x+6 →dudx=5→dx=15du

Q: 3 Si S(3x² + 9y²) dxdy

A: To Find:

Q: Use the Table of Integrals to evaluate the integral. e70 sin 60 de

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Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A: We have to solve

Q: Evaluate the given indefinite integral. Indicate u, n, and du. (e-4)de J (0+5)*

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Q: Evaluate the given indefinite integral. Indicate u, n, and du. Scos" }y sin ydy

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Q: Evaluate the given indefinite integral. Indicate u, n, and du. e2x +2e* dx e* +1

A: According to question,Given integral,Let I = ∫e2x+2exex+1 dx

Q: For the indefinite integral V14+ x*dx, a good choice for a u-substitution is u = du = After making…

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Q: Evaluate the integral by interpreting it in terms of areas. La '5 (1 – x) dx

A: The solution is:

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

A:

Q: Consider the indefinite integral Je+0 dx: a) This can be transformed into a basic integral by…

A: The given integral is , I=∫e5x+6dx The task is to find a suitable transformation for the above…

Q: Consider the indefinite integral dx: (2² + 2)? This can be transformed into a basic integral by…

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Q: Consider the indefinite integral fe5z +6 dæ: a) This can be transformed into a basic integral by…

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Q: sin (x²) + C

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Q: Consider the indefinite integral (22 da: (z – 2)* 3)2 This can be transformed into a basic integral…

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Q: Use substitution to change the integral into one that can be evaluated by a formula from geometry,…

A: Solution; Consider the given integral: I = ∫1e525-(ln x)2xdx Substitute ln (x) = u du = 1xdxwhen x =…

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration. 9 +…

A: Solve the following

Q: Evaluate the given indefinite integral. Indicate u, n, and du. xdx 3-x

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

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Q: Evaluate the given indefinite integral. Indicate u, n, and du. Scos* y sin ydy

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Q: fo-Vin° e+2 ln² e+ln@ de

A: Here we have to solve the given Integral.

Q: Evaluate the following indefinite integral. Do not include +C in your answer. -4x +5x +2+e)dx…

A: We're going to solve

Q: Consider the indefinite integral a · Vx² – 5 dæ: This can be transformed into a basic integral by…

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Q: Express the integral in terms of the variable u, but do not evaluate it. ell In x dr; = In x e10 ell…

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Q: 4 dx=? e.

A: ∫14 4x-e-xdx =∫144xdx-∫14e-xdx =4∫141xdx-∫14e-xdx =4lnx14-e-x-114 =4lnx14--e-x14 =4lnx14+e-x14

Q: Consider the indefinite integral ez +3 dr: a) This can be transformed into a basic integral by…

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Q: Evaluate the improper integral :Jo B 22 dx e Answer:

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

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Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.251…

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Q: Consider the indefinite integral 25 dæ: (26 – 8)6 This can be transformed into a basic integral by…

A: First I have make the substitution and reduce the integral in easy form.All solution steps are in…

Q: Consider the indefinite integral c Vx + 9 dx: This can be transformed into a basic integral by…

A: To evaluate the given definite integral.