Flashcards : Introduction to Integral Calculus — 10 cartes

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1Question

Integral — definition?

Réponse

Calculates accumulation, often area under a curve.

2Question

Integral — definition?

Réponse

Sum of infinitesimal parts; area under curve.

3Question

Fundamental Theorem — role?

Réponse

Links differentiation and integration, simplifying calculations.

4Question

Indefinite integral — role?

Réponse

Finds antiderivatives with constant C.

5Question

Basic rules — examples?

Réponse

Power, exponential, and trigonometric integrals.

6Question

Definite integral — purpose?

Réponse

Calculates accumulated quantity between two points.

7Question

Fundamental Theorem — connecting concepts?

Réponse

Links differentiation and integration.

8Question

Area under the curve — calculation?

Réponse

Using a definite integral.

9Question

Improper integrals — extension?

Réponse

Handle infinite limits or discontinuities.

10Question

Numerical integration — purpose?

Réponse

Approximate integrals when exact is difficult.

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1. What is an integral in calculus?

2. What does an indefinite integral of a function f(x) represent?

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