Find the indefinite integral of \(xe^{x^2}\) with respect to \(x\).
You are computing
the indefinite integral=family of antiderivatives=family of functions.
Don’t confuse this with
the definite integral= a number= net area= the limit of Riemann sums.
\[ \int xe^{x^2}\d x \begin{prompt} =\answer {\frac {1}{2}e^{x^2}}+C \end{prompt} \]