$\huge
\int_{ 0 } ^ { \pi/4} 3.5 \sec^2 (x) \tan^{4} (x) \, \d x
$
$\huge \begin{align}
\let u &= \tan x \\
\let \d u &= \sec^2 (x) \d x \\
\int_{ 0 } ^ { \pi/4} 3.5 \sec^2 (x) \tan^{4} (x) \, \d x &=
\frac{7}{2} \int_{\tan 0}^{\tan \frac{\pi}{4} } u^4 \d u \\
&= \frac{7}{2} \pa{ \frac{1}{5} - 0 } \\
&= \frac{7}{10}
\end{align}
$