What is the integral from 100 to 120 of (600)/x ?

The integral from 100 to 120 of (600)/x is 600ln(6/5)

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integral from 100 to 120 of (600)/x

\int_{100}^{120} \frac{600}{x} d x

600 ln (\frac{6}{5})

Decimal Notation

109.39293 \dots

Solution steps

\int_{100}^{120} \frac{600}{x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 600 \cdot \int_{100}^{120} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= 600 [ln ∣ x ∣]_{100}^{120}

Compute the boundaries:

ln (120) - 2 ln (10)

= 600 (ln (120) - 2 ln (10))

Simplify

= 600 ln (\frac{6}{5})

f (x) = 4 x^{2} - x^{3}, at x = 1

\frac{d y}{d x} + 2 y = 3

x \to 0 lim (\frac{1}{2} x^{2})

x \to 1 lim (3 x + 5)

3 csc (x) + 7 cos (x)

What is the integral from 100 to 120 of (600)/x ?
The integral from 100 to 120 of (600)/x is 600ln(6/5)