What is the integral from 0 to 3 of 3x^3 ?

The integral from 0 to 3 of 3x^3 is 243/4

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integral from 0 to 3 of 3x^3

\int_{0}^{3} 3 x^{3} d x

\frac{243}{4}

Decimal

60.75

Solution steps

\int_{0}^{3} 3 x^{3} d x

Take the constant out:

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

= 3 \cdot \int_{0}^{3} x^{3} d x

Apply the Power Rule

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

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

Compute the boundaries:

\frac{81}{4}

= 3 \cdot \frac{81}{4}

Simplify

= \frac{243}{4}

\frac{1}{2 + t}

\int 8 csc (x) d x

f (x) = 5 x + 39, at x = 5

\frac{x}{5 + x ^{2}}

\frac{20}{- 5 s + 3}

What is the integral from 0 to 3 of 3x^3 ?
The integral from 0 to 3 of 3x^3 is 243/4