Evaluate the integrals. The integrals are listed inrandom order so you need to decide which integration technique to use. ∫dy/√(e2y - 1)

Q: Evaluate the integral. (Use C for the constant of integration.) dx 81 - x2

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Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

A: Given, ∫046t-3dt To solve the above integration.

Q: Evaluate the integral. (Use C for the constant of integration.) dx - x2

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Q: Evaluate the integral by any method. NOTE: Enter the exact answer. V6 dx 3 + x4

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Q: Evaluate the integrals. The integrals are listed inrandom order so you need to decide which…

A: Let u and dv

Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ x3 + x2/x2 + x - 2 dx

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ x dx/x2 - 3x + 2

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Q: Identify the method applicable and evaluate the integral using the identified method: adx 5. S -…

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Q: Evaluate the integral. (Use C for the constant of integration.) (x2 - 9x) dx

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Q: Evaluate the integrals. The integrals are listed inrandom order so you need to decide which…

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Q: Q2. following integrals. Use integration by parts method to evaluate the

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Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx -

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Q: Evaluate the integral. (Use C for the constant of integration.) +² | dx 81-x²

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Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ dx/x(x + 1)2

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Q: Evaluate the integral. (Use C for the constant of integration.) dr

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Q: Evaluate the integral. (Use C for the constant of integration.) | (4x4 - 3x-2 + 5x-5 + 2) dx

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Q: What are two options for finding the indefinite integral below? ∫ 5t dt

A: ∫5t dt First option: We can integrate it directly by using the formula ∫xn dx=xn+1n+1+C, we get ∫5t…

Q: Evaluate the integral. (Use C for the constant of integration.) x² - 64 dx - +8

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Q: Use the basic integration rules to find or evaluate the integral

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Q: Use properties of the integral and the formulas in the summary to calculate the integrals.

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Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 25x² +…

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Q: 3x²-2 do 3 2x - 4x

A: Here we will solve the given integral,

Q: Find the integral. (Use C for the constant of integration.) (x6 + 5-×) dx

A: In this question, we need to find the integral of given function.

Q: .3 da

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Q: Evaluate the integrals. The integrals are listed inrandom order so you need to decide which…

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Q: Evaluate the integral. (Use C for the constant of integration.) 1- 36x2 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 9xV1- x4 dx

A: Formula used: ∫a2-x2dx=xa2-x22+a22sin-1xa+C Calculation: Simplify the integral as follows:…

Q: Use the basic integration rules to find or evaluate the integral                     ∫100 /√(100 −…

A: Given that : The integral is ∫100100 - x2 dx .

Q: Use any method to evaluate the integrals ∫ 1/x4 - 1 dx

A: Given:∫1x4-1 dx

Q: Evaluate the integral. (Use C for the constant of integration.) 5xV1 - x4 dx

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Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(5x)…

A: Given , the integral We have to evaluate the integral by using by parts formula.

Q: Evaluate the integral. (Use C for the constant of integration.) 45x-5 dx

A: Consider the given integral. ∫45x-5dx The objective of the problem is to evaluate the given…

Q: Evaluate the integral. (Use C for the constant of integration.) 2 + x dx 2 - x Need Help? Watch It

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Q: Evaluate the integral. (Use C for the constant of integration.) dx 3 - 3x9

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) dx x2…

A: Given: ∫dxx24x2+81

Q: Evaluate the integral. (Use C for the constant of integration.) x2 - 64 dx

A: The given integral is ∫x2-64x3dx. Let us assume u=x2-64 and v'=1x3. Differentiate u with respect to…

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) x²…

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

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ x dx/x2 + 4x + 3

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Q: Evaluate the integral. (Use C for the constant of integration.) 11 dx x²V 4x² - 1

A: Given integral ∫11dxx24x2-1=11∫dxx24x2-1 Now consider ∫dxx24x2-1 Use substitution method to solve…

Q: Evaluate the integral. (Use C for the constant of integration.) (2× – 5*) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) (2x4 – 4x-2 + 3x + 4) dx

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Q: dx xV4-x?

A: Explained below

Q: Evaluate the integral. (Use C for the constant of integration.) (3× – 5*) dx

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Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 25x2 +…

A: I am attaching image so that you understand each and every step.

Q: Evaluate the integral. (Use C for the constant of integration.) dx 49 - x2

A: We have to find the integral

Q: Evaluate the integral. (Use C for the constant of integration.) 25x-5 dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 6x2 + 8x + 3) dx

A: ∫16x3-6x2+8x+3 dx

Q: Use the basic integration rules to find or evaluate the integral ∫2x /(x − 3)  dx

A: Given: ∫2xx-3dx