Question

Can someone explain the obnoxious constant that shows up when solving integrals? Is this necessary when you have defined bounds?

Answer 1

When you take the derivative of a function with a constant (for example, 3x + 5), the constant disappears. When you take the integral of 3, you end up with 3x+c - in order to account for any constant that may have disappeared from the original function. And no, the constant is not necessary when you have a definite integral, because you end up saying +c - c. :)

Answer 2

a definite integral is the result of defined bounds i think

Answer 3

an indefinite integral is boundless (+C).... if I recall correctly

Answer 4

thank you - that explains everything

Answer 5

Glad to help.