Question Find the antiderivative of $\frac{d s}{d t}=11 t\left(5 t^{2}-7\right)^{3}$.

Studdy Solution
Substitute back the expression for $u$ in terms of $t$ to get $s$ in terms of $t$.
$$s = \frac{11}{40} (5t^2 - 7)^4 + C$$
This is the antiderivative of the given derivative.