___
5*\/ x 5*atan(x)
7 - ------- - ---------
2 ___ 2 / ___\ / 3\
1 + x 2*\/ x 12*x *\7*x - 5*atan(x)*\/ x /*sin\-3 + 4*x /
----------------------- + --------------------------------------------
/ 3\ 2/ 3\
cos\3 - 4*x / cos \3 - 4*x /
$$\frac{12 x^{2} \left(- 5 \sqrt{x} \operatorname{atan}{\left(x \right)} + 7 x\right) \sin{\left(4 x^{3} - 3 \right)}}{\cos^{2}{\left(- 4 x^{3} + 3 \right)}} + \frac{- \frac{5 \sqrt{x}}{x^{2} + 1} + 7 - \frac{5 \operatorname{atan}{\left(x \right)}}{2 \sqrt{x}}}{\cos{\left(- 4 x^{3} + 3 \right)}}$$
/ ___\
2 | 5*atan(x) 10*\/ x | / 3\
12*x *|-14 + --------- + --------|*sin\-3 + 4*x /
3/2 / / 3\ 3 2/ 3\\ | ___ 2 |
5 10*x 5*atan(x) / ___ \ | 3 sin\-3 + 4*x / 12*x *sin \-3 + 4*x /| \ \/ x 1 + x /
- -------------- + --------- + --------- - 24*x*\-7*x + 5*\/ x *atan(x)/*|6*x + -------------- + ---------------------| - -------------------------------------------------
___ / 2\ 2 3/2 | / 3\ 2/ 3\ | / 3\
\/ x *\1 + x / / 2\ 4*x \ cos\-3 + 4*x / cos \-3 + 4*x / / cos\-3 + 4*x /
\1 + x /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 3\
cos\-3 + 4*x /
$$\frac{- \frac{12 x^{2} \cdot \left(\frac{10 \sqrt{x}}{x^{2} + 1} - 14 + \frac{5 \operatorname{atan}{\left(x \right)}}{\sqrt{x}}\right) \sin{\left(4 x^{3} - 3 \right)}}{\cos{\left(4 x^{3} - 3 \right)}} - 24 x \left(5 \sqrt{x} \operatorname{atan}{\left(x \right)} - 7 x\right) \left(\frac{12 x^{3} \sin^{2}{\left(4 x^{3} - 3 \right)}}{\cos^{2}{\left(4 x^{3} - 3 \right)}} + 6 x^{3} + \frac{\sin{\left(4 x^{3} - 3 \right)}}{\cos{\left(4 x^{3} - 3 \right)}}\right) + \frac{10 x^{\frac{3}{2}}}{\left(x^{2} + 1\right)^{2}} - \frac{5}{\sqrt{x} \left(x^{2} + 1\right)} + \frac{5 \operatorname{atan}{\left(x \right)}}{4 x^{\frac{3}{2}}}}{\cos{\left(4 x^{3} - 3 \right)}}$$
/ 3/2 \
2 |atan(x) 4 8*x | / 3\
45*x *|------- - -------------- + ---------|*sin\-3 + 4*x /
| 3/2 ___ / 2\ 2|
5/2 / / 3\ 3 2/ 3\ 6 / 3\ 6 3/ 3\\ ___ / ___\ / / 3\ 3 2/ 3\\ | x \/ x *\1 + x / / 2\ |
40*x / ___ \ | 3 sin\-3 + 4*x / 72*x *sin \-3 + 4*x / 360*x *sin\-3 + 4*x / 432*x *sin \-3 + 4*x /| 25*\/ x 15*atan(x) 15 | 5*atan(x) 10*\/ x | | 3 sin\-3 + 4*x / 12*x *sin \-3 + 4*x /| \ \1 + x / /
- --------- - 24*\-7*x + 5*\/ x *atan(x)/*|36*x + -------------- + --------------------- + --------------------- + ----------------------| + --------- - ---------- + --------------- - 36*x*|-14 + --------- + --------|*|6*x + -------------- + ---------------------| + -----------------------------------------------------------
3 | / 3\ 2/ 3\ / 3\ 3/ 3\ | 2 5/2 3/2 / 2\ | ___ 2 | | / 3\ 2/ 3\ | / 3\
/ 2\ \ cos\-3 + 4*x / cos \-3 + 4*x / cos\-3 + 4*x / cos \-3 + 4*x / / / 2\ 8*x 4*x *\1 + x / \ \/ x 1 + x / \ cos\-3 + 4*x / cos \-3 + 4*x / / cos\-3 + 4*x /
\1 + x / \1 + x /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
/ 3\
cos\-3 + 4*x /
$$\frac{\frac{45 x^{2} \cdot \left(\frac{8 x^{\frac{3}{2}}}{\left(x^{2} + 1\right)^{2}} - \frac{4}{\sqrt{x} \left(x^{2} + 1\right)} + \frac{\operatorname{atan}{\left(x \right)}}{x^{\frac{3}{2}}}\right) \sin{\left(4 x^{3} - 3 \right)}}{\cos{\left(4 x^{3} - 3 \right)}} - 36 x \left(\frac{10 \sqrt{x}}{x^{2} + 1} - 14 + \frac{5 \operatorname{atan}{\left(x \right)}}{\sqrt{x}}\right) \left(\frac{12 x^{3} \sin^{2}{\left(4 x^{3} - 3 \right)}}{\cos^{2}{\left(4 x^{3} - 3 \right)}} + 6 x^{3} + \frac{\sin{\left(4 x^{3} - 3 \right)}}{\cos{\left(4 x^{3} - 3 \right)}}\right) - \frac{40 x^{\frac{5}{2}}}{\left(x^{2} + 1\right)^{3}} - 24 \cdot \left(5 \sqrt{x} \operatorname{atan}{\left(x \right)} - 7 x\right) \left(\frac{432 x^{6} \sin^{3}{\left(4 x^{3} - 3 \right)}}{\cos^{3}{\left(4 x^{3} - 3 \right)}} + \frac{360 x^{6} \sin{\left(4 x^{3} - 3 \right)}}{\cos{\left(4 x^{3} - 3 \right)}} + \frac{72 x^{3} \sin^{2}{\left(4 x^{3} - 3 \right)}}{\cos^{2}{\left(4 x^{3} - 3 \right)}} + 36 x^{3} + \frac{\sin{\left(4 x^{3} - 3 \right)}}{\cos{\left(4 x^{3} - 3 \right)}}\right) + \frac{25 \sqrt{x}}{\left(x^{2} + 1\right)^{2}} + \frac{15}{4 x^{\frac{3}{2}} \left(x^{2} + 1\right)} - \frac{15 \operatorname{atan}{\left(x \right)}}{8 x^{\frac{5}{2}}}}{\cos{\left(4 x^{3} - 3 \right)}}$$