What is the integral from 0 to 0.5 of 150x ?

The integral from 0 to 0.5 of 150x is 18.75

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integral from 0 to 0.5 of 150x

\int_{0}^{0.5} 150 x d x

18.75

Solution steps

\int_{0}^{0.5} 150 x d x

Take the constant out:

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

= 150 \cdot \int_{0}^{0.5} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{0.5}

= 150 [\frac{x ^{2}}{2}]_{0}^{0.5}

Simplify

= 150 [0.5 x^{2}]_{0}^{0.5}

Compute the boundaries:

0.125

= 150 \cdot 0.125

Simplify

= 18.75

\int_{0}^{1} \frac{29}{4 y - 1} d y

x \to 0 lim (3 x^{2} - 1)

y = 2 x^{4} + 3 x - 3

\frac{d}{d x} (2 + cos (2 x))

\frac{s}{( s ^{2} + 49 ) ( s ^{2} + 1 )}

What is the integral from 0 to 0.5 of 150x ?
The integral from 0 to 0.5 of 150x is 18.75