Free Antiderivative Calculator Online
Determine indefinite integrals and antiderivatives of polynomial functions with step-by-step math explanations.
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Indefinite Integral Power Rule
Evaluate antiderivatives of basic polynomial equations. Standardize coefficients and terms to check calculus homework steps instantly.
Frequently Asked Questions (FAQ)
What is an antiderivative?
An antiderivative of a function f(x) is another function F(x) whose derivative is equal to f(x) (i.e. F'(x) = f(x)).
What is the power rule of integration?
The power rule states that the antiderivative of x^n is (x^(n+1))/(n+1) + C, valid for all n except -1.
Why do we add the constant '+ C'?
Since the derivative of a constant is zero, any constant could have been part of the original function. '+ C' represents this family of possible solutions.
What is the antiderivative of 1/x?
The antiderivative of 1/x (or x^-1) is ln|x| + C, which is why the power rule does not apply when n = -1.
Does the tool require server connections?
No, calculus integrations are performed entirely client-side.