O Evalu ake I dx

Q: Write the integral in terms of u and du. Then evaluate:  ∫ (x − 7)3 dx, u = x − 7

A: ∫x-73 dx Put, u=x-7⇒dudx=1-0⇒du=dx Therefore, ∫x-73 dx=∫u3 du

Q: Use the basic properties of the integral to calculate o (u? + bu) du. S (u² + 6u) du :

A: Given integral is ∫03u2+6udu. Use property  ∫af+bgdx=a∫fdx+b∫gdx Hence, ∫03u2+6udu=∫03u2du+6∫03udu…

Q: write the integral in terms of u and du. Then evaluate.

A:

Q: What is the integral of csc^3 x cot^3 x?

A: Let,

Q: Use the basic properties of the integral to calculate (u² + 6u) du. Si(u² + 6u) du =

A: ∫03 u2+6udu

Q: 1 - √xdx

A:

Q: Write the integral in terms of u and du. Then evaluate ∫ xe-x2 dx, u = - x 2

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Q: Evaluate the integral I = dr.

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Q: Evaluate the integral (use the substitution): е x+1 xp- (x + 1)2 a.

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Q: Evaluate the integral by making the appropriate substitution: u = NOTE: Your answer should be in…

A: On solving this we will get:-

Q: Replace the letter A in the integral Ae2u - 글라-오 + C. dx so that the integral evaluates to A =…

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Q: Evaluate the integral 34 dr, by making the appropriate substitution: u = 5) da- 34 NOTE: Your answer…

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Q: 34) Ldx o V81 - x2 A) -9 B) 81 C) 9 D) diverges

A: Topic:- integration

Q: Evaluate the integral. du 2

A:

Q: Write the integral in terms of u and du. Then evaluate: ∫ (x + 25)−2 dx, u = x + 25

A: In some cases integrals can be transformed as a standard integral using appropriate substitution.…

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx Vre(36VT)…

A:

Q: Evaluate the integral.

A: Given: ∫e6dxxlnx. for finding this integral we use substitution method and  substitute lnx=t now we…

Q: Write the integral in terms of u and du. Then evaluate. (6x + 19)-2 dx, u = 6x + 19

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Q: The improper integral o be +25 da Select one:

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Q: x7 +1 dx = x8 + 8x Vr8

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Q: Evaluate the integral cot 2x S- Vcot? 2x - 15

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

A: We need to integrate∫ex-8x-8dx

Q: 23. į un's da

A: To evaluate the given integral.

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. ty8t2 + 7 dt…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx +C J…

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Q: let x² Va?-x?dx , write the integral by using Beta function

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Q: Evaluate the integral using FTC I.

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Q: Evaluate the integral. Assume that B is a real number and that B > 3. B 9x2) dx /з

A: Evaluate the integral ∫3B4x-9x2 dx , B>3

Q: Evaluate the integral: x+2 ox

A: Given: ∫x2x+2dx

Q: Determine whether the integral is improper (x– 4) -'dx A Improper (B Not improper

A:

Q: Determine whether the integral is improper (x-4) -'dx A Improper B Not improper

A: Given data÷

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. dx = (9x + 8)…

A:

Q: dx

A: Given problem:-

Q: A. Determine whether each integral is improper. If it is improper, give your justification. dx 2.

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Q: Evaluate the integral. Assume that B is a real number and that B > 3. 6x dx

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Q: Evaluate the integral by making the given substitution. sec(5z)tan(5z)dz, u = 5x +C Submit Question…

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Q: +00 S" x?dx

A: To write that the given integral is improper or not.

Q: Evaluate the integral of * se S sec 3x tan? 3x dx

A: In this we have to go through the basics and using substitution so I'm providing hand written…

Q: Write the integral in terms of u and du. Then evaluate.

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Q: Evaluate the improper integral da, if it exists. (22 + 49)2

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Q: Evaluate the integral. a sec (4x) da =

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Q: 36) x7 e-x8 dx

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Q: Write the integral in terms of u and du. Then evaluate. (4x + 27)-2 dx, u = 4x + 27 (Use symbolic…

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Q: Write the integral in terms of u and du. Then evaluate. (4x + 17)-2 dx, u = 4x + 17 (Use symbolic…

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Q: Write the integral in terms of u and du. Then evaluate. (8x + 29)-2 dx, u = 8x + 29 (Use symbolic…

A: topic - indefinite integration

Q: Write the integral in terms of u and du. Then evaluate. (2x + 21)-2 dx, u = 2x + 21 (Use symbolic…

A:

Q: Evaluate the integral, if it exists.

A: Consider the given integration as ∫19u-2u2udu

Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1. ft x²…

A: The given integral is improper. An improper integral is a definite integral in which the integral is…

Q: je* dxdy b)

A: In this question we have to find integration.