Question

Explain why it is necessary to write "+C" when finding an antiderivative.

Answer 1

To signify the constant. The derivative of a constant is zero. So an andi-derivative needs to account for this possible constant that would have disappeared when differentiating.

Answer 2

When you differentiate something like 2x+1, the answer will be 2. And if you integrate 2, you'll get 2x. The +C, is there to show all the other possibles answers.

Answer 3

d/dx (5x + 1) = 5

antiderivative of 5 is 5x + C

Answer 4

w.r.t. x

Answer 5

Assume a function f(x) has an arbitrary constant, C in it. f(x) can be of any order. Thus, it can be of form ax^2 + bx +c, ax + b, so on.
When we take the derivative of such a function, assuming b and c are constants, they disappear. So, if I asked you to find the original function, given a derivative, you wouldn't know if or the value of any constant that may have been there

Answer 6

if you jsut wrote 5x, well, that would be wrong, because 5x is different than 5x + C. We use C to represent it cuz we don't know what the constant was

Answer 7

good luck OP and calculus is the best

Answer 8

^ said no one ever (calculus is the best part)

Answer 9

Yeah..I thought it was funny >_>. Guess not.