What is the integral from 0 to sqrt(2 of)x^4 ?

The integral from 0 to sqrt(2 of)x^4 is (4sqrt(2))/5

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integral from 0 to sqrt(2 of)x^4

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

\frac{4 2}{5}

Decimal

1.13137 \dots

Solution steps

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{4 2}{5}

= \frac{4 2}{5}

\int_{0}^{\infty} e^{5 x} d x

\int_{1}^{3} (2 - x) e^{x} d x

\int_{0}^{1} x^{\frac{1}{5}} - x d x

\int_{0}^{1} x 45 x^{2} + 36 d x

\int_{0}^{\frac{4}{5}} \frac{1}{25 x ^{2} + 16} d x

What is the integral from 0 to sqrt(2 of)x^4 ?
The integral from 0 to sqrt(2 of)x^4 is (4sqrt(2))/5