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(Solved): Solve \[ y^{\prime}=\tan ^{3}(5 x) \cdot \sec (5 x) \] \[ \begin{array}{l} y=\frac{1}{10} \sec ^{3} ...
![Solve
\[
y^{\prime}=\tan ^{3}(5 x) \cdot \sec (5 x)
\]
\[
\begin{array}{l}
y=\frac{1}{10} \sec ^{3}(5 x)-\frac{1}{6} \sec (5](https://media.cheggcdn.com/study/6cd/6cd8402f-80fc-4b27-b3e0-81309e721c20/image)
Solve \[ y^{\prime}=\tan ^{3}(5 x) \cdot \sec (5 x) \] \[ \begin{array}{l} y=\frac{1}{10} \sec ^{3}(5 x)-\frac{1}{6} \sec (5 x)+C \\ y=\frac{1}{15} \sec ^{2}(5 x)-\frac{1}{6} \sec (5 x)+C \\ y=\frac{1}{10} \sec ^{2}(5 x)+\frac{1}{5} \sec (5 x)+C \\ y=\frac{1}{15} \sec ^{3}(5 x)-\frac{1}{5} \sec (5 x)+C \\ y=\frac{1}{15} \sec ^{3}(5 x)+\frac{1}{5} \sec (5 x)+C \end{array} \]