What is the integral from 0 to 0.6 of 300x ?

The integral from 0 to 0.6 of 300x is 54

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integral from 0 to 0.6 of 300x

\int_{0}^{0.6} 300 x d x

54

Solution steps

\int_{0}^{0.6} 300 x d x

Take the constant out:

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

= 300 \cdot \int_{0}^{0.6} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{0.6}

= 300 [\frac{x ^{2}}{2}]_{0}^{0.6}

Simplify

= 300 [0.5 x^{2}]_{0}^{0.6}

Compute the boundaries:

0.18

= 300 \cdot 0.18

Simplify

= 54

\frac{d y}{d x} = \frac{y}{x} + 8 x + 7

\frac{\partial}{\partial x} (8 x arctan (\frac{x}{y}))

\frac{d}{d x} (e^{\frac{x}{x - 1}})

\int \frac{x ^{3}}{x ^{2} - x} d x

\frac{d}{d x} ((1 + \frac{1}{x})^{\frac{1}{x}})

What is the integral from 0 to 0.6 of 300x ?
The integral from 0 to 0.6 of 300x is 54