Is the following definite integral $\int_a^x w^3dw$ an antiderivative of $w^3$?
2026-05-06 02:16:01.1778033761
Definite integral is an antiderivative of?
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If we assume $a$ is a constant and $x$ is a variable then $$F(x) = \int_a^x w^3dw$$ is antiderivative of $f(x)=x^3$. The $w$ is just an integration variable.
The expression $\int_a^x w^3dw$ is a function of $x$, not of $w$. You can also write it as $\int_a^x t^3dt$, it's still a function of $x$ (no matter which variable you use under the integral).