What is the integral from 1 to 4 of x^4 ?

The integral from 1 to 4 of x^4 is 1023/5

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integral from 1 to 4 of x^4

\int_{1}^{4} x^{4} d x

\frac{1023}{5}

Solution steps

\int_{1}^{4} x^{4} d x

Apply the Power Rule

: [\frac{x ^{5}}{5}]_{1}^{4}

= [\frac{x ^{5}}{5}]_{1}^{4}

Compute the boundaries:

\frac{1023}{5}

= \frac{1023}{5}

\int_{2}^{4} 4 t^{3} + 4 t d t

\int_{- 3}^{1} x^{3} + 3 x^{2} - x + 1 d x

\int_{0}^{π} x^{2} \cdot sin (3 x) d x

\int_{- 1}^{2} 4 x d x

\int_{1}^{2} 1 + x e^{x} d x

What is the integral from 1 to 4 of x^4 ?
The integral from 1 to 4 of x^4 is 1023/5