Funktion Durchschnittswert-Rechner

Your input: find the average value of $x^{4}$ on the interval $\left[0,7\right]$.

The average value of the function $f\left(x\right)$ on the interval $[a,b]$ is $\bar{f}= \frac{1}{b-a} \int_a^b f \left( x \right) d x$.

So, calculate the integral $L = \frac{1}{\left( 7 \right)-\left( 0 \right)}\int_{0}^{7} x^{4} d x = \int_{0}^{7} \frac{x^{4}}{7} d x$

The calculations and the answer for the integral can be seen here.