What is the integral from 0 to 3 of 2x^4 ?

The integral from 0 to 3 of 2x^4 is 486/5

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integral from 0 to 3 of 2x^4

\int_{0}^{3} 2 x^{4} d x

\frac{486}{5}

Decimal Notation

97.2

Solution steps

\int_{0}^{3} 2 x^{4} d x

Take the constant out:

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

= 2 \cdot \int_{0}^{3} x^{4} d x

Apply the Power Rule

: [\frac{x ^{5}}{5}]_{0}^{3}

= 2 [\frac{x ^{5}}{5}]_{0}^{3}

Compute the boundaries:

\frac{243}{5}

= 2 \cdot \frac{243}{5}

Simplify

= \frac{486}{5}

\int_{- 4}^{4} (x - 2) d x

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

\int_{0}^{\frac{π}{2}} - x cos (x) + x d x

\int_{x - 2}^{x^{2}} t - 1 d t

\int_{0}^{1} x^{2} (1 + 2 x^{3}) d x

What is the integral from 0 to 3 of 2x^4 ?
The integral from 0 to 3 of 2x^4 is 486/5