0
For some functions the answer is relatively straightforward and you have a formula. For other functions, it may be possible, using numerical methods, to calculate the area under the function's curve. This will be a numerical answer to the problem under specific boundary conditions.
Still curious? Ask our experts.
Chat with our AI personalities
Rafa
Rene
MaxineAdd your answer:
Earn +20 pts
What is an antiderivative?
It is an inverse function of a derivative, also known as an integral.
What you say if a function whose derivative and antiderivative is same?
That means that either the function is equal to zero everywhere (y = 0), or it is the exponential function (y = ex).
How do you take the antiderivative of 1 over x?
The general formula for powers doesn't work in this case, because there will be a zero in the denominator. The antiderivative of 1/x is ln(x), that is, the natural logarithm of x.
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.
What is the function of an antiderivative in calculus?
Anti-derivatives are a part of the integrals in the calculus field. According to the site Chegg, it is best described as the "inverse operation of differentiation."
