What is the integral from 0.2 to 0.4 of 300x ?

The integral from 0.2 to 0.4 of 300x is 18

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integral from 0.2 to 0.4 of 300x

\int_{0.2}^{0.4} 300 x d x

18

Solution steps

\int_{0.2}^{0.4} 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_{0.2}^{0.4} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0.2}^{0.4}

= 300 [\frac{x ^{2}}{2}]_{0.2}^{0.4}

Simplify

= 300 [0.5 x^{2}]_{0.2}^{0.4}

Compute the boundaries:

0.06

= 300 \cdot 0.06

Simplify

= 18

\int \frac{x ^{2} - 4}{x} d x

(4 + ln (x))^{7}

\frac{d y}{d t} + e^{t} y = - 6 e^{t}

f (x) = \frac{4 x}{x + 1}, (3, 3)

f (x) = 3 x + 1

What is the integral from 0.2 to 0.4 of 300x ?
The integral from 0.2 to 0.4 of 300x is 18