Solve \int a^2-u^21du

Evaluate

\int (a^{2} - u^{2} \times 1) d u

Any expression multiplied by 1 remains the same

\int (a^{2} - u^{2}) d u

Rewrite the expression

\int - (- a^{2} + u^{2}) d u

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

- \int (- a^{2} + u^{2}) d u

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 - a^{2} d u + \int u^{2} d u)

Calculate

- \int - a^{2} d u - \int u^{2} d u

Evaluate the integral

More Steps

a^{2} u - \int u^{2} d u

Evaluate the integral

More Steps

a^{2} u - \frac{u ^{3}}{3}

Solution

a^{2} u - \frac{u ^{3}}{3} + C, C \in R