Use the Fundamental Theorem of Calculus to evaluate (if it exists) 4t-5 dt. If the integral does not exist, type "DNE" as your answer.

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Q: Use the fundamental theorem of calculus part 2 to evaluate the 3 integral: S (9x – 4) dæ. -2

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Q: Find the indefinite integral ∫(t2i + 5tj + 8t3k) dt

A: Given ,∫t2i+5t j+8t3Kdt

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

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Q: Evaluate the indefinite integral. 4 dt (t + 11)? + C

A: Integration of 4/(t+11)^2.

Q: Evaluate the integral. 4tm 2 sin(2t) dt

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 8 3 dt t 1

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Q: cOsy du dy

A: Definition used-    Double integral -                             ∫ab∫cdg(y)f(x)dxdy…

Q: Use the Fundamental Theorem of Calculus to evaluate (if it exists) -5t- dt. If the integral does not…

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Q: prove by definition that the integral from a to b of xdx = b^2-a^2/2

A: To Prove:    ∫abxdx=b2-a22

Q: Use the Fundamental Theorem of Calculus to decide if the definite integral exists and either…

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Q: If f is continuous and f(t) dt = 18, find the integral Answer:

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. V3 2 8 dx V1-x?

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given: Definite integral Sum Rule of integration,

Q: Use the fundamental theorem of calculus part 2 to evaluate the 3 integral: (8 sin x) dx. Noto: Round…

A: Our Aim is to evaluate the integral given below:-∫π/4π/3 (8 sin x) dx -(i) using Fundamental Theorem…

Q: Evaluate the integral.

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Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. 7 dx V1-x?

A: Please refer the attached image for complete solution.

Q: Use Green's Theorem to evaluate the integral 3x²y²dx + (5y³ – x³y²)dy, C

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Q: Evaluate the definite integral (from 5 to 7)∫(d/dt (2+2t^4)^(1/2) dt using the Fundamental Theorem…

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Q: Evaluate the integral, if it exists.

A: Given: ∫-π4π4t4 tant2+costdt

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

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Q: What is the integral of f cos (2t)dt?

A: SOLUTION-

Q: Next, integrate with respect to 0. T/2 1 e4 1 - de = 1. | T/2 1 - e4 Again, apply the Fundamental…

A: Here, all the parts are correct except part 3 of 6. The part 3 of 6 is: Evaluate: 12∫0π21-1e4dθ

Q: Evaluate the integral by making the given substitution. dt u = 1 - 7t (1 – 7t)6' -

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

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Q: Evaluate the integral f(Vt,et) dt. t+1'

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Q: F(x) = sin(t) dt %3D 3x

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Q: evaluate the integral; ∫ [5,1] t/1+t^2 dt

A: We have to find the value of given definite integral. To find that we use integration by…

Q: Evaluate the integral: fnste" du ds dt

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Q: Use the Fundamental Theorem of Calculus to evaluate the integral: 5/4 sin x dx. Jπ/2 C. A. - B. D.…

A: The objective of the question is evaluate definite integral using the fundamental theorem and choose…

Q: e) Apply the Fundamental Theorem of Calculus in order to evaluate the definite integral: + 2)* dz =

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Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given: ∫192xdx

Q: Use Part II of the Fundamental Theorem of Calculus to evaluate the integral. So (cx³ + dx² + e) dx…

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Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. t7 + 1 dt e (ExpresS

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Q: 8t/3- 10t4/3 dt 8/27 t2

A: Let I=∫82718t13-10t43t2dt

Q: Use the Fundamental Theorem of Calculus to evaluate (if it exists) where If the integral does not…

A: Solution

Q: (2 + x /T)dx

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Q: Use a substitution (in the integral) to prove that L{f(at)} where L{f(t)} = F(s). %3D a

A: Use the formula of Laplace Transformation and than substitute in the integral.

Q: Evaluate the indefinite integral ∫⟨1t,4t3,√t⟩dt, where t>0.

A: We will integrate term by term.

Q: Inx 2. S soe ye*dzdxdy

A: topic - triple integration

Q: If ƒ is continuous and f(t) dt = 16, find the integral

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Q: | (6+xvF)dx

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Q: (10x – 3x + 1)dx

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the integral, if it exists.    ∫0π/4  (1 + tan t) 3 Sec2 t dt

A: Given information: The integral is ∫0π4+tant3sec2t dt  Calculation: Apply the u-substitution method.…

Q: Evaluate the following integrals using theFundamental Theorem of Calculus.

A: Given, ∫0π42cos(x)dx

Q: Evaluate the integral: f/2² sin (-) dt du ,2

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Q: Evaluate the integral.   ∫01 t cosh t dt

A: Given: ∫01tcoshtdt

Q: In Evaluate the integral: Sto st² sin s teu du ds dt

A: The given integral is: I=∫12∫tt2∫0lnsteududsdt   The Power Rule: ∫ax+bndx=ax+bn+1an+1+C