1. For example, see Chapter 21 : Indefinite integrals feedback, page 357. 2. *The indefinite integral can be considered as a multivalued function. 3. Indefinite integrals are called indefinite because their solutions are only unique up to a constant.4. The indefinite integral of many algebraic functions is transcendental. 5. The modern notation for the indefinite integral was introduced by Gottfried Leibniz in 1675 (; ). 6. The indefinite integral of a function is the set of functions whose derivative is that function. 7. I know how to take definite integrals of polynomials and indefinite integrals of trigonometric functions, but this! 8. As for the constant in an indefinite integral , you don't do anything with it, it just stays there. 9. As with the indefinite integral , this is special to the real numbers, and does not extend over the complex numbers. 10. To acknowledge this, a constant of integration is added to an indefinite integral ; this ensures that all possible solutions are included.
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