What is the integral from 0 to 8 of 7/3 x ?

The integral from 0 to 8 of 7/3 x is 224/3

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integral from 0 to 8 of 7/3 x

\int_{0}^{8} \frac{7}{3} x d x

\frac{224}{3}

Decimal

74.66666 \dots

Solution steps

\int_{0}^{8} \frac{7}{3} x d x

Take the constant out:

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

= \frac{7}{3} \cdot \int_{0}^{8} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{8}

= \frac{7}{3} [\frac{x ^{2}}{2}]_{0}^{8}

Compute the boundaries:

32

= \frac{7}{3} \cdot 32

Simplify

= \frac{224}{3}

x \to 0 lim (\frac{2}{3 cos ( x )})

\frac{d}{d x} ((2 x - 1)^{- 2})

x \to 0 lim (\frac{x}{2 x + sin ( x )})

y = \frac{16}{1 + x ^{4}}, y = 8 x^{2}

x^{2} - 4, x = 0, - 4, 3

What is the integral from 0 to 8 of 7/3 x ?
The integral from 0 to 8 of 7/3 x is 224/3