\(\displaystyle \int 11\tan^{4}(x) \sec^{6}(x) dx\)
\(\displaystyle 11 \tan^{4}(x) (\sec^{3}(x)(sec^{3}(x))\)
\(\displaystyle 11 \tan^{4}(x) (\sec^{2}(x))(\sec(x))(\sec(x))(\sec^{2}(x))\)
\(\displaystyle 11 \tan^{4}(x) (\sec^{2}(x))(\sec^{2}(x))(\sec^{2}(x))\)
\(\displaystyle 11 \tan^{4}(x) (\tan^{2}(x) + 1)(\tan^{2}(x) + 1)(\sec^{2}(x))\)
\(\displaystyle u = \tan(x)\)
\(\displaystyle du = \sec^{2}(x) dx\)
\(\displaystyle 11 u^{4} (u^{2} + 1)(u^{2} + 1) du\)??
\(\displaystyle 11 \tan^{4}(x) (\sec^{3}(x)(sec^{3}(x))\)
\(\displaystyle 11 \tan^{4}(x) (\sec^{2}(x))(\sec(x))(\sec(x))(\sec^{2}(x))\)
\(\displaystyle 11 \tan^{4}(x) (\sec^{2}(x))(\sec^{2}(x))(\sec^{2}(x))\)
\(\displaystyle 11 \tan^{4}(x) (\tan^{2}(x) + 1)(\tan^{2}(x) + 1)(\sec^{2}(x))\)
\(\displaystyle u = \tan(x)\)
\(\displaystyle du = \sec^{2}(x) dx\)
\(\displaystyle 11 u^{4} (u^{2} + 1)(u^{2} + 1) du\)??
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