2. Evaluate the given integral. a da /3 — а 0,

Q: Evaluate the integral. In 2 e2X dx (Hint: eln a = a)

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Q: Evaluate the integrals ∫√t sin (2t3/2) dt

A:

Q: ) Evaluate the integrals of the following; i) ,( + cos x)dr 1+cos 2t dt ii) 2 iii) [(3x +2)(3x?…

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: Substitute u = x + 2 into ul0 - 2u° + C to evaluate the given integral in terms of x. 10 | x(x + 2)8…

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Q: (b) 'elz)x d: 1

A:

Q: calculate the integral of  integral of 0 to 4 for dt/64t^2+9

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Q: in S 0 n soo

A: Here we have to Evaluate the double integral

Q: 3. Write as a single integral in the form S(x) S(x)dx -2

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Q: e2 In(x) da

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Q: Evaluate the integrals in ∫2ey cos ey dv

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Q: Evaluate the iterated integrals: 4 2 S[x* +xy}dydx 0 1

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Q: Evaluate the integrals

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Q: Evaluate the integrals in ∫2y dy/y2 - 25

A: Given integral:

Q: Q2)Evaluate the following integrals in (3) 1- dx 3.x²

A: SOLUTION-

Q: -2 2 7e" + dy -5

A:

Q: 1 Determine the definite integral of 4 3(Vx) xp (DE + x^)S

A: Let I=∫49x+13xdxApply the Sum Rule:…

Q: Find the answer to this integral:

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Q: Evaluate the integral. +1 dt Vi 0.

A:

Q: 2. a) Evalute the following improper integrals 6. dx 3 3

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

Q: Use the method of u-substitution to evaluate the given integrals. 4t dt 2 – 812

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Q: 1. + t/4 2. Sr e-2it dt .

A:

Q: 1. A sprinter is running a race. If f(t) describes the sprinter's speed in meters per second, t…

A: f(t) represent sprinters speed meter per second.

Q: Find the product of the integral In(3) S Som) xy e*y* dxdy

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Q: dx . Evaluate the given integral: S xV5x2-4

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Q: If | h(s)ds = 21 and h(s)ds = 10.8 2 what does the following integral equal? | h(e)ds - [

A: If ∫-56hsds=21 and ∫-26hsds=10.8. Then we have to find the integral value of ∫-5-2hsds=?

Q: 3. Evaluate the following integrals a. 4-VE dt

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

Q: 1 2x dæ is an improper integral. 1

A: The definite integral is called a proper integral if the interval [a, b] is finite or bounded and…

Q: 6. Calculate the integral in parts: Je (2x + 4) cos(4x) da.

A:

Q: 'SC x x x

A: ∫cot2(x)csc3(x) dxWe know that cot2(x)=csc2(x)-1=∫csc3(x)(csc2(x)-1)dx=∫(csc5(x)-csc3(x))dxWe know…

Q: Evaluate the following integrals.

A: Given :      ∫131t t+1dt

Q: 2 Evaluate the improper integral e2a dx, if exists.

A: Evaluate the improper integral  ∫-∞2 e2x dx

Q: fx ax dx

A:

Q: 15. Evaluate the following integrals: (b) , Tax+1)3/2 (c) f, (8)05xdx. 30 8 dx (a) J 7x+5)1/3 ' -dx,

A:

Q: 3. Evaluate the following integrals: -ds +3 a. 2x b. S

A:

Q: 10.) Find the integral of* 3 (-4y ) ( +14y-7) dy

A: We need to evaluate ∫3y6-4y-3y7+14y-2-76dy                          (1) Let y7+14y-2-7 = t On…

Q: In evaluating | x(4 – x)3dx , if we use the substitution that u = 4 – x, then what will be the…

A: Indefinite Integration using substitution

Q: If 3 h(t)dt = 5 5 and .3 h(t)dt = 7.3 what does the following integral equal? h(t)dt =

A:

Q: 2. Evaluate the integral: SSS teu du ds dt

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Q: 2. Evaluate the following integrals. et a. (e2 +3)Ve2 – 16e-2" + 6

A: Solution

Q: Evaluate the integrals ∫ e4t + 2e2t - et/e2t + 1 dt

A: Consider the following integral:…

Q: In y -dy 4

A:

Q: Evaluate the iterated integral. In 3 In 4 e 4x +y dy dx 0. 1.

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Q: 1) Calculate the following integrals. b) √₁6x²=1 -dx

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Q: Compute the following Gaussian integrals. 1. xte-aa2 dx 8. 2. xe-ax dr

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Q: 2. a) Evalute the following improper integrals dx Vx – 3

A: We will solve the problem.

Q: Find the integral. 21) + e3t) dt

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Q: dx Evaluate the given integral: S- xV5x2-4

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Q: Evaluate the integrals in ∫2 t e-t2 dt

A: Given:2∫ t e-2t dt

Q: Evaluate the integral of ax^2 e^bx dx assume a and b are constants.

A: Please see the explanation below