Solve \int_0^2 (x^2+1)\,dx

Evaluate

\int_{0}^{2} (x^{2} + 1) d x

Evaluate the integral

\int (x^{2} + 1) d x

Use the property of integral \int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

\int x^{2} d x + \int 1 d x

Evaluate the integral

More Steps

\frac{x ^{3}}{3} + \int 1 d x

Use the property of integral \int k d x = k x

\frac{x ^{3}}{3} + x

Return the limits

(\frac{x ^{3}}{3} + x)_{0}^{2}

Solution

More Steps

\frac{14}{3}

Alternative Form

4 \frac{2}{3}

Alternative Form

4. \dot{6}

\int_0^2 (x^2+1)\,dx