integral of 3x^2-2y^2 — step-by-step solution

The math expression:

3 x^{2} - 2 y^{2}

contains several variables so the variable: x is chosen for integration

Let's compute the integral:

\int(3 x^{2} - 2 y^{2})dx

\int(3 x^{2})dx - \int(2 y^{2})dx

ℹ

\int(3 x^{2})dx

3 \cdot \frac{x^{3}}{3}

‖

- \int(2 y^{2})dx

- 2 y^{2} \cdot x

3 \cdot \frac{x^{3}}{3} - 2 y^{2} \cdot x

ℹ

3 \cdot \frac{x^{3}}{3}

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

‖

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

x^{3}

x^{3} - 2 y^{2} x

▶Indefinite integrals are defined up to an additive constant C, so this yields:

x^{3} - 2 x y^{2} + C