Explain the difference between an indefinite integral and a definite integral Ch

Question

Explain the difference between an indefinite integral and a definite integral Choose the best answer below A. An indefinite integral cannot always be integrated analytically and may require numeric integration, while it is always possible to integrate a definite integral. Definite integrals always return a real number after evaluation at its limits of integration. B. A definite integral, after evaluating it at the limits of integration, results in a particular number An indefinite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration C. An indefinite integral, after evaluating it at the limits of integration, results in a particular number A definite integral results in a set of functions that share the same derivative and uses an arbitrary constant of integration. B. A definite integral is defined and continuous over the interval of integration and has finite limits of integration An indefinite integral is also defined and continuous over the interval of integration, but may have plusminus infinity as a limit of integration

Explanation / Answer

The definite integral of f(x) is a NUMBER and represents the area under the curve f(x) from x=a to x=b.

The indefinite integral of f(x) is a FUNCTION and answers the question, "What function when differentiated gives f(x)"

Hence ,

A definite integral , after evaluating it at the limits of integration results in a perticular number.A definite integral results in a set of functions that share the same derivative and uses an arbitary constant of integration.

Therefore ,

Option " B " is correct answer

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.