Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s). x21-x2 dx + C

Q: 53. Use the substitution u = x + 1 to evaluate the integral I dr.

A: Differentiate u with respect to x,  du= 4x3 dx du/4x3= dx

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

A: Taking substitution

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

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Q: x In(2 + x³) dx

A: Topic  = Integration

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

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Q: Evaluate the integral, if it exists.  ∫0π/8Sec  2θ   tan 2θ dθ

A: This integral can be solved by the Substitution Method. also these you will need these :

Q: Use symmetry to evaluate the following integral. x' dx -3

A: To find: ∫-33x7dx

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

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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: Decide on what substitution to use, and then evaluate the given integral using a substitution. 2x V…

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Q: 1. x +4 √x -dx

A: We will use substitution method.

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

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

A: Given : Integral  ∫ex-21x-21dx   To find : Evaluate the given integral by using u-substitution?

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A: integration

Q: Evaluate the integral using an appropriate substitution. dx = +C x√√8-xd

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Q: 5. -dx 1 + x

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Q: Use symmetry to evaluate the following integral. | (6- |x)) dx - 1

A: The given integral,     ∫-116-xdx

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

A:

Q: Evaluate the integral of the following using Miscellaneous Substitution 3. x /x*+ 1dx

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Q: sin (x²) + C

A:

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

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A: Given integral is,

Q: Evaluate the following integral by completing the square: dx . x +6x + 13 .2

A:

Q: evaluate the integral by making the given substitutions

A: Given,

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

A:

Q: Evaluate the integral by making the given substitution. | x³(7 + x4)7 dx, u = 7 + x* (7 +x^)4 + C 32

A: Given ;

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

A: Let I is the value of given Integration.

Q: Evaluate the integral by interpreting it in terms o 0. 9 - x2 ) dx -3 9 3 + 4

A: ∫-30 (3+9-x2)dx=∫-30 3dx+∫-30 9-x2dx                                    =A+BA:∫-30 3dx=3x|-30…

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

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Q: Evaluate the following integrals or show that they are divergent: (a) In x dx x4

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

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

A:

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: Use the table of integrals at the back of the text to evaluate the integrals ∫dx/x√(7 - x2)

A: Given integral, ∫dxx7-x2we have to evaluate the given intewgral;

Q: Evaluate the integral of the following using Miscellaneous Substitution dx 4. Sa

A: We can evaluate the given integral by using the substitution u = x⅙  and the following formulas.

Q: Use residue theory to calculate the following integrals: 3x 1. Loo (x² + 49) (x² − 2x+5) (a) P.V. dx

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Evaluate the integral of the following using Miscellaneous Substitution dx 1+ X

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

A: Topic = Integration

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

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Q: Find or evaluate the integral by completing the square

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Q: Evaluate the integral. (Use C for the const dx 15 √ 5x(1 + 5x)

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Q: Evaluate the integral by making the given substitution. (5x)tan(5x)dx, u = 5x + C

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

A: ∫ex-14×1x-14dx Let us take u= x-14, then differentiating u with respect to x, we get   du = 12x-14dx…

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

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Q: Evaluate the integral by making the given substitution. x2(sqrt x3+22)dx…

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