integral from 0 to 3 of sqrt(5) — step-by-step solution

Let's integrate:

\int_{0}^{3} \sqrt{5} d x

ⓘ The derivative of

\sqrt{5} \times x

\sqrt{5}

, so

\sqrt{5} \times x

is an antiderivative of

\sqrt{5}

\int \sqrt{5} d x

\sqrt{5} \times x

▷

\sqrt{5} \times x

Let's evaluate over the interval

[0, 3]

3 \times \sqrt{5} - 0 \times \sqrt{5}

ⓘ A product with a zero factor is zero:

0 \times \sqrt{5}

0

3 \times \sqrt{5} + 0

ⓘ Adding 0 changes nothing:

3 \times \sqrt{5} + 0

3 \times \sqrt{5}

▶Integral:

3 \times \sqrt{5}

The numeric value of:

3 \times \sqrt{5}

equals:

3 \times \approx 2.2361

▷

\approx 6.7082