What is the integral from 2 to 4 of 3x^4 ?

The integral from 2 to 4 of 3x^4 is 2976/5

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integral from 2 to 4 of 3x^4

\int_{2}^{4} 3 x^{4} d x

\frac{2976}{5}

Decimal

595.2

Solution steps

\int_{2}^{4} 3 x^{4} d x

Take the constant out:

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

= 3 \cdot \int_{2}^{4} x^{4} d x

Apply the Power Rule

= 3 [\frac{x ^{5}}{5}]_{2}^{4}

Compute the boundaries:

\frac{992}{5}

= 3 \cdot \frac{992}{5}

Simplify

= \frac{2976}{5}

What is the integral from 2 to 4 of 3x^4 ?
The integral from 2 to 4 of 3x^4 is 2976/5