What is the integral from 0 to 3/4 of 30x ?

The integral from 0 to 3/4 of 30x is 135/16

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integral from 0 to 3/4 of 30x

\int_{0}^{\frac{3}{4}} 30 x d x

\frac{135}{16}

Decimal

8.4375

Solution steps

\int_{0}^{\frac{3}{4}} 30 x d x

Take the constant out:

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

= 30 \cdot \int_{0}^{\frac{3}{4}} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{\frac{3}{4}}

= 30 [\frac{x ^{2}}{2}]_{0}^{\frac{3}{4}}

Compute the boundaries:

\frac{9}{32}

= 30 \cdot \frac{9}{32}

Simplify

= \frac{135}{16}

f (x) = x + 9 x

x \to - \infty lim (cos (x))

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

x \to 2 lim (x^{2} + 1)

\frac{d}{d x} (3 + e^{- x})

What is the integral from 0 to 3/4 of 30x ?
The integral from 0 to 3/4 of 30x is 135/16