2 / 2 \ tan(x) 3
asin (4*x - 1)*\-5 + 5*tanh (5*x - 3)/ 8*asin(4*x - 1) 28*3 *x tan(x) / 2 \ / 4\
- -------------------------------------- - --------------------------------- + -------------- + 3 *\1 + tan (x)/*asin\7*x /*log(3)
2 ________________ ___________
tanh (5*x - 3) / 2 / 8
\/ 1 - (4*x - 1) *tanh(5*x - 3) \/ 1 - 49*x
$$\frac{28 \cdot 3^{\tan{\left(x \right)}} x^{3}}{\sqrt{- 49 x^{8} + 1}} + 3^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \operatorname{asin}{\left(7 x^{4} \right)} - \frac{\left(5 \tanh^{2}{\left(5 x - 3 \right)} - 5\right) \operatorname{asin}^{2}{\left(4 x - 1 \right)}}{\tanh^{2}{\left(5 x - 3 \right)}} - \frac{8 \operatorname{asin}{\left(4 x - 1 \right)}}{\sqrt{- \left(4 x - 1\right)^{2} + 1} \tanh{\left(5 x - 3 \right)}}$$
2
/ 2 \ 2 2 / 2 \ tan(x) 2 tan(x) 10 2 / 2 \ tan(x) 3 / 2 \
32 50*\-1 + tanh (-3 + 5*x)/ *asin (-1 + 4*x) 50*asin (-1 + 4*x)*\-1 + tanh (-3 + 5*x)/ 84*3 *x 5488*3 *x tan(x) / 2 \ 2 / 4\ 80*\-1 + tanh (-3 + 5*x)/*asin(-1 + 4*x) 32*(-1 + 4*x)*asin(-1 + 4*x) tan(x) / 2 \ / 4\ 56*3 *x *\1 + tan (x)/*log(3)
--------------------------------- - ------------------------------------------ + ----------------------------------------- + -------------- + ---------------- + 3 *\1 + tan (x)/ *log (3)*asin\7*x / - ---------------------------------------- - ----------------------------------- + 2*3 *\1 + tan (x)/*asin\7*x /*log(3)*tan(x) + ----------------------------------
/ 2\ 3 tanh(-3 + 5*x) ___________ 3/2 _________________ 3/2 ___________
\-1 + (-1 + 4*x) /*tanh(-3 + 5*x) tanh (-3 + 5*x) / 8 / 8\ / 2 2 / 2\ / 8
\/ 1 - 49*x \1 - 49*x / \/ 1 - (-1 + 4*x) *tanh (-3 + 5*x) \1 - (-1 + 4*x) / *tanh(-3 + 5*x) \/ 1 - 49*x
$$\frac{5488 \cdot 3^{\tan{\left(x \right)}} x^{10}}{\left(- 49 x^{8} + 1\right)^{\frac{3}{2}}} + \frac{56 \cdot 3^{\tan{\left(x \right)}} x^{3} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)}}{\sqrt{- 49 x^{8} + 1}} + 3^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(3 \right)}^{2} \operatorname{asin}{\left(7 x^{4} \right)} + 2 \cdot 3^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \tan{\left(x \right)} \operatorname{asin}{\left(7 x^{4} \right)} + \frac{84 \cdot 3^{\tan{\left(x \right)}} x^{2}}{\sqrt{- 49 x^{8} + 1}} + \frac{50 \left(\tanh^{2}{\left(5 x - 3 \right)} - 1\right) \operatorname{asin}^{2}{\left(4 x - 1 \right)}}{\tanh{\left(5 x - 3 \right)}} - \frac{50 \left(\tanh^{2}{\left(5 x - 3 \right)} - 1\right)^{2} \operatorname{asin}^{2}{\left(4 x - 1 \right)}}{\tanh^{3}{\left(5 x - 3 \right)}} - \frac{80 \left(\tanh^{2}{\left(5 x - 3 \right)} - 1\right) \operatorname{asin}{\left(4 x - 1 \right)}}{\sqrt{- \left(4 x - 1\right)^{2} + 1} \tanh^{2}{\left(5 x - 3 \right)}} + \frac{32}{\left(\left(4 x - 1\right)^{2} - 1\right) \tanh{\left(5 x - 3 \right)}} - \frac{32 \cdot \left(4 x - 1\right) \operatorname{asin}{\left(4 x - 1 \right)}}{\left(- \left(4 x - 1\right)^{2} + 1\right)^{\frac{3}{2}} \tanh{\left(5 x - 3 \right)}}$$
3 2 2 2
/ 2 \ 2 tan(x) / 2 \ / 2 \ 2 tan(x) 9 tan(x) 17 3 / 2 \ 2 2 / 2 \ / 2 \ 2 tan(x) 3 / 2 \ 2 tan(x) 2 / 2 \ tan(x) 10 / 2 \ tan(x) 3 / 2 \
2 / 2 \ 750*\-1 + tanh (-3 + 5*x)/ *asin (-1 + 4*x) 384*(-1 + 4*x) 128*asin(-1 + 4*x) 168*x*3 480*\-1 + tanh (-3 + 5*x)/ 1250*\-1 + tanh (-3 + 5*x)/ *asin (-1 + 4*x) 71344*3 *x 3226944*3 *x tan(x) / 2 \ 3 / 4\ 1200*\-1 + tanh (-3 + 5*x)/ *asin(-1 + 4*x) 384*(-1 + 4*x) *asin(-1 + 4*x) tan(x) / 2 \ / 4\ 1200*\-1 + tanh (-3 + 5*x)/*asin(-1 + 4*x) 480*\-1 + tanh (-3 + 5*x)/*(-1 + 4*x)*asin(-1 + 4*x) tan(x) 2 / 2 \ / 4\ tan(x) / 2 \ 2 / 4\ 84*3 *x *\1 + tan (x)/ *log (3) 252*3 *x *\1 + tan (x)/*log(3) 16464*3 *x *\1 + tan (x)/*log(3) 168*3 *x *\1 + tan (x)/*log(3)*tan(x)
- 500*asin (-1 + 4*x)*\-1 + tanh (-3 + 5*x)/ - ------------------------------------------- - ---------------------------------- - ----------------------------------- + -------------- + ---------------------------------- + -------------------------------------------- + ---------------- + ------------------- + 3 *\1 + tan (x)/ *log (3)*asin\7*x / - ------------------------------------------- - ----------------------------------- + 2*3 *\1 + tan (x)/ *asin\7*x /*log(3) + ------------------------------------------ - ---------------------------------------------------- + 4*3 *tan (x)*\1 + tan (x)/*asin\7*x /*log(3) + 6*3 *\1 + tan (x)/ *log (3)*asin\7*x /*tan(x) + ------------------------------------ + ----------------------------------- + -------------------------------------- + ------------------------------------------
4 2 3/2 ___________ / 2\ 2 2 3/2 5/2 _________________ 5/2 _________________ 3/2 ___________ ___________ 3/2 ___________
tanh (-3 + 5*x) / 2\ / 2\ / 8 \-1 + (-1 + 4*x) /*tanh (-3 + 5*x) tanh (-3 + 5*x) / 8\ / 8\ / 2 3 / 2\ / 2 / 2\ 2 / 8 / 8 / 8\ / 8
\-1 + (-1 + 4*x) / *tanh(-3 + 5*x) \1 - (-1 + 4*x) / *tanh(-3 + 5*x) \/ 1 - 49*x \1 - 49*x / \1 - 49*x / \/ 1 - (-1 + 4*x) *tanh (-3 + 5*x) \1 - (-1 + 4*x) / *tanh(-3 + 5*x) \/ 1 - (-1 + 4*x) *tanh(-3 + 5*x) \1 - (-1 + 4*x) / *tanh (-3 + 5*x) \/ 1 - 49*x \/ 1 - 49*x \1 - 49*x / \/ 1 - 49*x
$$\frac{3226944 \cdot 3^{\tan{\left(x \right)}} x^{17}}{\left(- 49 x^{8} + 1\right)^{\frac{5}{2}}} + \frac{16464 \cdot 3^{\tan{\left(x \right)}} x^{10} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)}}{\left(- 49 x^{8} + 1\right)^{\frac{3}{2}}} + \frac{71344 \cdot 3^{\tan{\left(x \right)}} x^{9}}{\left(- 49 x^{8} + 1\right)^{\frac{3}{2}}} + \frac{84 \cdot 3^{\tan{\left(x \right)}} x^{3} \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(3 \right)}^{2}}{\sqrt{- 49 x^{8} + 1}} + \frac{168 \cdot 3^{\tan{\left(x \right)}} x^{3} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \tan{\left(x \right)}}{\sqrt{- 49 x^{8} + 1}} + 3^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right)^{3} \log{\left(3 \right)}^{3} \operatorname{asin}{\left(7 x^{4} \right)} + 6 \cdot 3^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(3 \right)}^{2} \tan{\left(x \right)} \operatorname{asin}{\left(7 x^{4} \right)} + 4 \cdot 3^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)} \tan^{2}{\left(x \right)} \operatorname{asin}{\left(7 x^{4} \right)} + 2 \cdot 3^{\tan{\left(x \right)}} \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \log{\left(3 \right)} \operatorname{asin}{\left(7 x^{4} \right)} + \frac{252 \cdot 3^{\tan{\left(x \right)}} x^{2} \left(\tan^{2}{\left(x \right)} + 1\right) \log{\left(3 \right)}}{\sqrt{- 49 x^{8} + 1}} - 500 \left(\tanh^{2}{\left(5 x - 3 \right)} - 1\right) \operatorname{asin}^{2}{\left(4 x - 1 \right)} + \frac{1250 \left(\tanh^{2}{\left(5 x - 3 \right)} - 1\right)^{2} \operatorname{asin}^{2}{\left(4 x - 1 \right)}}{\tanh^{2}{\left(5 x - 3 \right)}} + \frac{168 \cdot 3^{\tan{\left(x \right)}} x}{\sqrt{- 49 x^{8} + 1}} - \frac{750 \left(\tanh^{2}{\left(5 x - 3 \right)} - 1\right)^{3} \operatorname{asin}^{2}{\left(4 x - 1 \right)}}{\tanh^{4}{\left(5 x - 3 \right)}} + \frac{1200 \left(\tanh^{2}{\left(5 x - 3 \right)} - 1\right) \operatorname{asin}{\left(4 x - 1 \right)}}{\sqrt{- \left(4 x - 1\right)^{2} + 1} \tanh{\left(5 x - 3 \right)}} - \frac{1200 \left(\tanh^{2}{\left(5 x - 3 \right)} - 1\right)^{2} \operatorname{asin}{\left(4 x - 1 \right)}}{\sqrt{- \left(4 x - 1\right)^{2} + 1} \tanh^{3}{\left(5 x - 3 \right)}} - \frac{384 \cdot \left(4 x - 1\right)}{\left(\left(4 x - 1\right)^{2} - 1\right)^{2} \tanh{\left(5 x - 3 \right)}} + \frac{480 \left(\tanh^{2}{\left(5 x - 3 \right)} - 1\right)}{\left(\left(4 x - 1\right)^{2} - 1\right) \tanh^{2}{\left(5 x - 3 \right)}} - \frac{480 \cdot \left(4 x - 1\right) \left(\tanh^{2}{\left(5 x - 3 \right)} - 1\right) \operatorname{asin}{\left(4 x - 1 \right)}}{\left(- \left(4 x - 1\right)^{2} + 1\right)^{\frac{3}{2}} \tanh^{2}{\left(5 x - 3 \right)}} - \frac{128 \operatorname{asin}{\left(4 x - 1 \right)}}{\left(- \left(4 x - 1\right)^{2} + 1\right)^{\frac{3}{2}} \tanh{\left(5 x - 3 \right)}} - \frac{384 \left(4 x - 1\right)^{2} \operatorname{asin}{\left(4 x - 1 \right)}}{\left(- \left(4 x - 1\right)^{2} + 1\right)^{\frac{5}{2}} \tanh{\left(5 x - 3 \right)}}$$