Express the integral in terms of the variable u, but do not evaluate it. In c dr; u = In x rels In c dx du %3D

Q: 3tan a sec? x dx (4+3tan=)* 2

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Q: Evaluate the integral, if it exists.  ∫01 y2 √(y3 + 1) dy

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Q: Determine whether the following improper integral. does it congerge to? dx 2x- 1

A: Here we have, I=∫1∞x2x-1dx ⇒I=limb→∞∫1bx2x-1dx

Q: Express the integral in terms of the variable u, but do not evaluate it. re21 In x - dx; = In x e5…

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Q: Evaluate the integral, if it exists.  ∫01 y (y2  + 1)5 dy

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Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x e2 In x…

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Q: Express the integral in terms of the variable u, but do not evaluate it. e16 In x dx; = In x rel6 In…

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Q: Evaluate the integral. Scos* (40)de

A: Given integral is ∫cos44θdθ Substitute  4θ=u ⇒dθ=du4 Hence,…

Q: Evaluate the integral by making the given substitution. sec(6z)tan(6æ)dr, u = 6z + C

A: According to question given :∫sec6xtan6x dx, u=6xWe have to evaluate the integral by making the…

Q: Express the integral in terms of the variable u, but do not evaluate it. el0 In x dx; = In x U = e5…

A: We need to express integral in terms of u.

Q: Use the Table of Integrals to evaluate the integral.

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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: Express the integral in terms of the variable u, but do not evaluate it. rell In x dx; u = In x %3D…

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Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Express the integral in terms of the variable u, but do not evaluate it. relo In x dx; u = In x es…

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

A: Given: I=∫e5e18lnxxdx   ...1

Q: For what values of a is each integral improper? Explain.

A: (a) consider the integral ∫a5dxx+2.

Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = In x re23 In x…

A: Topic:- integration

Q: Express the integral in terms of the variable u, but do not evaluate it. rel6 In x - dx; u = In x e9…

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Q: Express the integral in terms of the variable u, but do not evaluat e21 In x dx; u = In x re21 In x…

A: We are asked to evaluate the integral.

Q: Area = 3 Area = 3- %3| 9. d a Area = 10

A: As per given information: ∫abfxdx=10 And : ∫bcfxdx=3

Q: Express the integral in terms of the variable u, but do not evaluate it. In x dx; u = Inr In a ) du

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Q: Evaluate the integral using the given substitution. dx ,u = 6x + 1

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Express the integral in terms of the variable u, but do not evaluate it. re25 In x dx; u = In r In x…

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate…

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Q: Express the integral in terms of the variable u, but do not evaluate it. ne25 In x dx; u = In x re25…

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Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

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Q: Evaluate the integrals LI Vy+I dy b. So a. 5r dr (4+r²)?

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Q: In da for the integral to be equal to What should a be in

A: This is calculus problem

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: 14) ſe Vtanh® e" dy

A: Given that evaluate the integral

Q: Evaluate the integral. re 8 In(x) dx NOTE: Enter the exact answer.

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Q: Evaluate the integral using the following values. '3 '3 x3 dx = 20, х dx %3D 4, dx = 2 1 '1 x dx 13

A: We can find the answer as below.

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: According to question, Given integral,Let I = ∫e3xdx

Q: Evaluate the integrals

A: Evaluate∫−π3−π44sec2t+πt2dt

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: Given: Let I=∫e5x dx To Find: To evaluate the given integral by making a u‐substitution and then…

Q: Calculate the following integral, La CUP x6 (x4 + a4)² a4 ) 2 dx, (a > 0).

A: In the given indefinite integral. The method of substitution is used to simplify the integrand.…

Q: Use the properties to evaluate the integrals. S (1+) du 1.

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Q: Calculate the integral, assuming that o f(x) dx = -2, f(x) dx = 3, ff* f(x) dx = 7. (Give your…

A: Reverse integral property : ∫abf(x) dx =-∫ba f(x) dx

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: calculate the following integrals, assuming fCx)=ユ) fx)dx=7 f(x)dx= %3D

A: ∫01fxdx=1∫02fxdx=4To find:∫12fxdx

Q: Evaluate the integral by making the given substitution. sec(4x)tan(4x)da, u = 4x + C

A: To find following integration  I = ∫ sec(4x).tan(4x).dx

Q: Calculate the following integrals. (०) / जरेगार dx dr (b) */4+(In r)?

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Q: Evaluate the integral using the following values. = 260, x dx = 10, d dx = 260, dx = 2

A: ∫46x3 dx=260 , ∫46x dx =10 , ∫46 dx= 2∫46 (29-5x-x3) dx = 29∫46dx - 5∫46x dx - ∫46 x3dx

Q: Express the integral in terms of the variable u, but do not evaluate it. re13 In x · d.x; u = In x e…

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Q: The integral o So e a dxdy is equal to

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Q: Express the integral in terms of the variable u, but do not evaluate it. e14 In x dx3; u = In x e…

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