integral from-infinity to 0 of x — step-by-step solution

Let's compute the integral:

\int_{-∞}^{0} (x)dx

▷

\frac{x^{2}}{2}

At the infinite bound

-∞

, the antiderivative is worth its limit

⇥Let's evaluate the limit of

\frac{x^{2}}{2}

when

x \to -∞

⇥The limit of

x^{2}

+∞

when

x \to -∞

⇥So the limit of

\frac{x^{2}}{2}

+∞

when

x \to -∞

The integral diverges to

-∞

▶Integral:

-∞