Mathematics Exam  >  Mathematics Videos  >  Calculus  >  Indefinite Integral

Indefinite Integral Video Lecture | Calculus - Mathematics

112 videos|65 docs|3 tests

FAQs on Indefinite Integral Video Lecture - Calculus - Mathematics

1. What is an indefinite integral?
Ans. An indefinite integral, also known as an antiderivative, is a mathematical function that represents the reverse process of differentiation. It helps determine the original function when only the derivative is known.
2. How is an indefinite integral represented mathematically?
Ans. An indefinite integral is represented by ∫(f(x)) dx, where f(x) is the function to be integrated and dx represents the differential of x.
3. What is the significance of the constant of integration in an indefinite integral?
Ans. The constant of integration is added to the result of an indefinite integral. It arises because the derivative of a constant is always zero, and when integrating, we lose information about the constant term in the original function.
4. How can the power rule be applied to solve indefinite integrals?
Ans. The power rule states that for any constant n ≠ -1, the integral of x^n with respect to x is (x^(n+1))/(n+1) + C, where C represents the constant of integration.
5. Can all functions be integrated using indefinite integrals?
Ans. No, not all functions can be integrated using indefinite integrals. Some functions do not have an elementary antiderivative, and their integration requires advanced techniques such as integration by parts or substitution.
112 videos|65 docs|3 tests
Explore Courses for Mathematics exam
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Related Searches

past year papers

,

practice quizzes

,

Important questions

,

video lectures

,

Free

,

pdf

,

Objective type Questions

,

mock tests for examination

,

shortcuts and tricks

,

Sample Paper

,

Indefinite Integral Video Lecture | Calculus - Mathematics

,

study material

,

Extra Questions

,

MCQs

,

Viva Questions

,

Previous Year Questions with Solutions

,

Exam

,

Indefinite Integral Video Lecture | Calculus - Mathematics

,

Summary

,

Semester Notes

,

Indefinite Integral Video Lecture | Calculus - Mathematics

,

ppt

;