/ 2 3 \ / 5\
|- -- + -------|*tan\2 + 7*x /
| 2 ___| 4 / 2/ 5\\
\ x 4*\/ x / 35*x *\1 + tan \2 + 7*x //
- ------------------------------ + --------------------------
3/2 _____________
/ ___ 4\ / ___ 4
|3*\/ x + -| / 3*\/ x + -
\ x/ \/ x
$$\frac{35 x^{4} \left(\tan^{2}{\left(7 x^{5} + 2 \right)} + 1\right)}{\sqrt{3 \sqrt{x} + \frac{4}{x}}} - \frac{\left(- \frac{2}{x^{2}} + \frac{3}{4 \sqrt{x}}\right) \tan{\left(7 x^{5} + 2 \right)}}{\left(3 \sqrt{x} + \frac{4}{x}\right)^{\frac{3}{2}}}$$
/ 2\
| / 3 8 \ |
| 3*|- ----- + --| |
| | ___ 2| |
| 64 6 \ \/ x x / | / 5\
|- -- + ---- + -----------------|*tan\2 + 7*x / 4 / 2/ 5\\ / 3 8 \
| 3 3/2 ___ 4 | 35*x *\1 + tan \2 + 7*x //*|- ----- + --|
| x x 3*\/ x + - | | ___ 2|
3 / 2/ 5\\ / 5 / 5\\ \ x / \ \/ x x /
70*x *\1 + tan \2 + 7*x //*\2 + 35*x *tan\2 + 7*x // + ----------------------------------------------- + -----------------------------------------
/ ___ 4\ / ___ 4\
16*|3*\/ x + -| 2*|3*\/ x + -|
\ x/ \ x/
--------------------------------------------------------------------------------------------------------------------------------------------------
_____________
/ ___ 4
/ 3*\/ x + -
\/ x
$$\frac{\frac{35 x^{4} \left(\frac{8}{x^{2}} - \frac{3}{\sqrt{x}}\right) \left(\tan^{2}{\left(7 x^{5} + 2 \right)} + 1\right)}{2 \left(3 \sqrt{x} + \frac{4}{x}\right)} + 70 x^{3} \left(35 x^{5} \tan{\left(7 x^{5} + 2 \right)} + 2\right) \left(\tan^{2}{\left(7 x^{5} + 2 \right)} + 1\right) + \frac{\left(\frac{3 \left(\frac{8}{x^{2}} - \frac{3}{\sqrt{x}}\right)^{2}}{3 \sqrt{x} + \frac{4}{x}} - \frac{64}{x^{3}} + \frac{6}{x^{\frac{3}{2}}}\right) \tan{\left(7 x^{5} + 2 \right)}}{16 \left(3 \sqrt{x} + \frac{4}{x}\right)}}{\sqrt{3 \sqrt{x} + \frac{4}{x}}}$$
/ 3 \
| / 3 8 \ / 3 32\ / 3 8 \| / 2\
| 5*|- ----- + --| 6*|- ---- + --|*|- ----- + --|| | / 3 8 \ |
| | ___ 2| | 3/2 3| | ___ 2|| | 3*|- ----- + --| |
| 256 12 \ \/ x x / \ x x / \ \/ x x /| / 5\ | | ___ 2| |
3*|- --- + ---- - ----------------- + ------------------------------|*tan\2 + 7*x / 4 / 2/ 5\\ | 64 6 \ \/ x x / |
| 4 5/2 2 ___ 4 | 105*x *\1 + tan \2 + 7*x //*|- -- + ---- + -----------------| 3 / 2/ 5\\ / 5 / 5\\ / 3 8 \
| x x / ___ 4\ 3*\/ x + - | | 3 3/2 ___ 4 | 105*x *\1 + tan \2 + 7*x //*\2 + 35*x *tan\2 + 7*x //*|- ----- + --|
| |3*\/ x + -| x | | x x 3*\/ x + - | | ___ 2|
2 / 2/ 5\\ / 5 / 5\ 10 / 2/ 5\\ 10 2/ 5\\ \ \ x/ / \ x / \ \/ x x /
70*x *\1 + tan \2 + 7*x //*\6 + 420*x *tan\2 + 7*x / + 1225*x *\1 + tan \2 + 7*x // + 2450*x *tan \2 + 7*x // - ----------------------------------------------------------------------------------- + ------------------------------------------------------------- + --------------------------------------------------------------------
/ ___ 4\ / ___ 4\ / ___ 4\
64*|3*\/ x + -| 16*|3*\/ x + -| 2*|3*\/ x + -|
\ x/ \ x/ \ x/
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
_____________
/ ___ 4
/ 3*\/ x + -
\/ x
$$\frac{\frac{105 x^{4} \left(\tan^{2}{\left(7 x^{5} + 2 \right)} + 1\right) \left(\frac{3 \left(\frac{8}{x^{2}} - \frac{3}{\sqrt{x}}\right)^{2}}{3 \sqrt{x} + \frac{4}{x}} - \frac{64}{x^{3}} + \frac{6}{x^{\frac{3}{2}}}\right)}{16 \left(3 \sqrt{x} + \frac{4}{x}\right)} + \frac{105 x^{3} \left(\frac{8}{x^{2}} - \frac{3}{\sqrt{x}}\right) \left(35 x^{5} \tan{\left(7 x^{5} + 2 \right)} + 2\right) \left(\tan^{2}{\left(7 x^{5} + 2 \right)} + 1\right)}{2 \left(3 \sqrt{x} + \frac{4}{x}\right)} + 70 x^{2} \left(\tan^{2}{\left(7 x^{5} + 2 \right)} + 1\right) \left(1225 x^{10} \left(\tan^{2}{\left(7 x^{5} + 2 \right)} + 1\right) + 2450 x^{10} \tan^{2}{\left(7 x^{5} + 2 \right)} + 420 x^{5} \tan{\left(7 x^{5} + 2 \right)} + 6\right) - \frac{3 \left(\frac{6 \left(\frac{32}{x^{3}} - \frac{3}{x^{\frac{3}{2}}}\right) \left(\frac{8}{x^{2}} - \frac{3}{\sqrt{x}}\right)}{3 \sqrt{x} + \frac{4}{x}} - \frac{5 \left(\frac{8}{x^{2}} - \frac{3}{\sqrt{x}}\right)^{3}}{\left(3 \sqrt{x} + \frac{4}{x}\right)^{2}} - \frac{256}{x^{4}} + \frac{12}{x^{\frac{5}{2}}}\right) \tan{\left(7 x^{5} + 2 \right)}}{64 \left(3 \sqrt{x} + \frac{4}{x}\right)}}{\sqrt{3 \sqrt{x} + \frac{4}{x}}}$$