answersLogoWhite

0


Best Answer

yes, look at the function f(x)=3x^2 The antiderivative is x^3+C where C is the constant and is more than one value for C. In fact, 3x^2 will have an infinite number of antiderivatives.

User Avatar

Wiki User

16y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Can a function have more than one antiderivative?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is integral in math?

There are two main definitions. One defines the integral of a function as an "antiderivative", that is, the opposite of the derivative of a function. The other definition refers to an integral of a function as being the area under the curve for that function.


In a function can an input have more than one outputs?

No. If an input in a function had more than one output, that would be a mapping, but not a function.


Can an invertible function have more than one x-intercept?

No. If the function has more than one x-intercept then there are more than one values of x for which y = 0. This means that, for the inverse function, y = 0 should be mapped onto more than one x values. That is, the inverse function would be many-to-one. But a function cannot be many-to-one. So the "inverse" is not a function. And tat means the original function is not invertible.


What is the antiderivative of -10x4?

I assume you mean -10x^4? In that case, antiderivative would be to add one to the exponent, then divide by the exponent. So -10x^5, then divide by 5. So the antiderivative is -2x^5.


Is there any other anti derivative of 1 divided by x?

The antiderivative of 1/x is ln(x) + C. That is, to the natural (base-e) logarithm, you can add any constant, and still have an antiderivative. For example, ln(x) + 5. These are the only antiderivatives; there are no different functions that have the same derivatives. This is valid, in general, for all antiderivatives: if you have one antiderivative of a function, all other antiderivatives are obtained by adding a constant.


Can a function have more than one input?

yes


Is the graph of every line a function?

No. One argument of function may have only one value. So, if it has more than one value, it is not a function.


Can a function have more than one output per one input?

No. A function has only one output per input.


How do you solve this question Integrate sinz from z 1 i to 20 30i?

1) First you get the anti-derivative of sin z. This one is easy; you can look it up in the most basic standard tables of integrals. 2) Use the fundamental theorem of calculus: a. Calculate the antiderivative function for the upper limit. b. Calculate the antiderivative function for the lower limit. c. Subtract the answer of part "a" minus the answer of part "b".


Does a program exist with more than one main function?

No, it does not.


Can functions have more than one answer?

No. In fact, a function can't have an answer at all, because it's not a question.An equation has an answer, and possibly more than one.In general, an equation is in the form of (one function) = (another function).(One of the functions may be zero or a constant.)


For every input there must be only one output for it to be a function What if there was more than one output to an input is it still then a function?

No, it is not. A function can only have one output per input. (If it has more than one, it is still maths, but it cannot be called a "function". It would probably be called an equation or a formula etc...).