How is integral calculus related to differential calculus?

Q: owing integral equal?

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Q: integral i

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Q: What nature of Fundamental Theorem of Calculus helps us to evaluate the definite integrals?

A: Given: To explain briefly about What nature of Fundamental Theorem of Calculus helps us to evaluate…

Q: 3 x2 - x dx 1

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Q: What is the Fundamental Theorem of line integrals?

A: Our Aim is to define Fundamental Theorem of line integrals

Q: List of formula for Integral calculus

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Q: How are the limits of integration determined? Give examples.?

A: How are the limits of integration determined? Give examples.?

Q: tan (Int) dt

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Q: How is Green’s Theorem similar to the Fundamental Theorem of Calculus ?

A: How is Green’s Theorem similar to the Fundamental Theorem of Calculus ?

Q: he indefinite integral.

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Q: What is the Fundamental Theorem of line integrals? Explain how it is related to the Fundamental…

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Q: integral

A: Given- ∫-23x-1dx We have to evaluate the given integral. Here we will use the following formulas-…

Q: Express the quantity lim as a definite integral.

A: We need to express the quantity as definite integral limn→∞1n∑ k=1nkn3 We need to express as…

Q: 2. F(x) = [ cosr' dt

A: Use fundamental theorem of calculus

Q: Jse differentials to approximate 47. (Express as a rational number.)

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Q: What is the Fundamental Theorem of line integrals? Explain how it relates to the Fundamental Theorem…

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Q: Explain why using The Fundamental Theorem of Calculus Part 2 to compute integrals would be more…

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Q: Integrate using the fundamental theorem of calculus

A: Our Aim is to evaluate the integral given below using Fundamental Theoem of Calculus.∫01x4+12 dx…

Q: 1 — х dx 0,

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Q: Explain how the Fundamental Theorem of Line Integrals and Green's Theorem are both similar to the…

A: Statement of fundamental theorem of calculus:

Q: integral

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Q: Find the indefinite integral and check the result by differentiation. dt F--3-3)- 8. 12

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Q: When are the two versions of Fundamental Theorem of Calculus helpfu

A: The first version of the fundamental theorem of calculus involves a variable like x so this will…

Q: Compare and contrast the Fundamental Theorem of Calculus and the Fundamental Theorem of Line…

A: compare and contrast the fundamental theorem of calculus and the fundamental theorem of line…

Q: 2) 2. 5メ4. +IntaltG 니

A: Please see the answer below.

Q: What is the difference between differential calculus and integral calculus

A: The question is about difference between differential calculus and integral calculus.

Q: Find Definite Integral Using Fundamental Theorem

A: Answer and explanation is given below..

Q: Use Newton's Method to approximate the zero(s) of the function f(x) = x° +x+1 accurate to three…

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Q: By the Fundamental Theorem of Calculus 2+x² Newton-Leibnitz, Theorem) evaluate √x dx

A: We have to evaluate  the given integral  ∫142+x2xdx  by using fundamental theorem of calculus.

Q: Exercise 4. find the indefinite integral and check your result by differenti- ation t2 +2

A: If you like the solution then please give it a thumbs up...   The Answer is:    I = t - 2/t  + c ,…

Q: How do the two versions of Fundamental Theorems of Calculus enable us to understand further…

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Q: Use the Fundamental Theorem of Calculus Part II to compute 0. 4 sec (x) dr.

A: Proceed as shown below

Q: √101

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Q: L (x − 3)(x + 2) dx – -2

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Q: This

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Q: Evaluate the definite integral. Using Fundamental Theorems of Calculus. (x2 - х) dx х2 +x+ 1

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Q: Define and explain integral and its properties briefly

A: Explanation of the answer is as follows

Q: Give examples of basic integration using reciprocal rule

A: Reciprocal rule of integration: ∫1xdx=lnx+C

Q: du

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Q: Explain mathematically how the Fundamental Theorem ofCalculus is used to evaluate definite…

A: Solution:- Fundamental theorem of calculus

Q: Discuss the two versions of the fundamental theorem of calculus

A: This the problem of Real Analysis, Theory of Reimann Integration.

Q: Integrate: (7x³ + 4x²) dx

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Q: The thickness of the shell is a = 0.5 centimeter. Use differentials to approximate the volume of the…

A: Given:        a=0.5 cm       r=100cm     Volume of shell V=43πr3     differentiating on both sides…

Q: What is differential calculus? And what is the best example to understand it?

A: Differential calculus: Differential calculus is subfield of calculus. In the calculus it has two…

Q: 3 Find approximation a5 costect to an three decimal places.

A: We approximate the value by using differential. The answer is given as follows

Q: Explain how to evaluate a definite integral using the Fundamental Theorem of Calculus.

A: Explain how to evaluate a definite integral using the Fundamental Theorem of Calculus.

Q: How can you apply integral and differential calculus in real life situations?

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Q: Explain the Intermediate Value Theorem?

A: Theorem statement: According to the intermediate value theorem, If f is a continuous function which…