Skip to main content
Evaluate
Tick mark Image
Differentiate w.r.t. x
Tick mark Image

Similar Problems from Web Search

Share

\int y^{2}\mathrm{d}y
Evaluate the indefinite integral first.
\frac{y^{3}}{3}
Since \int y^{k}\mathrm{d}y=\frac{y^{k+1}}{k+1} for k\neq -1, replace \int y^{2}\mathrm{d}y with \frac{y^{3}}{3}.
\frac{x^{3}}{3}-\frac{0^{3}}{3}
The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.
\frac{x^{3}}{3}
Simplify.