9 / 2 \
9*asin (tan(x))*\1 + tan (x)/
-----------------------------
_____________
/ 2
\/ 1 - tan (x) *asin(tan(x))
$$\frac{9 \left(\tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}^{9}{\left(\tan{\left(x \right)} \right)}}{\sqrt{- \tan^{2}{\left(x \right)} + 1} \operatorname{asin}{\left(\tan{\left(x \right)} \right)}}$$
/ / 2 \ / 2 \ \
7 / 2 \ | 8*\1 + tan (x)/ 2*asin(tan(x))*tan(x) \1 + tan (x)/*asin(tan(x))*tan(x)|
9*asin (tan(x))*\1 + tan (x)/*|- --------------- + --------------------- + ---------------------------------|
| 2 _____________ 3/2 |
| -1 + tan (x) / 2 / 2 \ |
\ \/ 1 - tan (x) \1 - tan (x)/ /
$$9 \left(\tan^{2}{\left(x \right)} + 1\right) \left(\frac{2 \tan{\left(x \right)} \operatorname{asin}{\left(\tan{\left(x \right)} \right)}}{\sqrt{- \tan^{2}{\left(x \right)} + 1}} - \frac{8 \left(\tan^{2}{\left(x \right)} + 1\right)}{\tan^{2}{\left(x \right)} - 1} + \frac{\left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \operatorname{asin}{\left(\tan{\left(x \right)} \right)}}{\left(- \tan^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}}\right) \operatorname{asin}^{7}{\left(\tan{\left(x \right)} \right)}$$
/ 2 2 2 2 \
| / 2 \ / 2 \ 2 2 / 2 \ 2 2 / 2 \ / 2 \ 2 2 2 2 / 2 \ / 2 \ |
6 / 2 \ |56*\1 + tan (x)/ \1 + tan (x)/ *asin (tan(x)) 2*asin (tan(x))*\1 + tan (x)/ 4*asin (tan(x))*tan (x) 48*\1 + tan (x)/*asin(tan(x))*tan(x) 3*\1 + tan (x)/ *asin (tan(x))*tan (x) 6*asin (tan(x))*tan (x)*\1 + tan (x)/ 24*\1 + tan (x)/ *asin(tan(x))*tan(x)|
9*asin (tan(x))*\1 + tan (x)/*|----------------- + ---------------------------- + ----------------------------- + ----------------------- - ------------------------------------ + -------------------------------------- + ------------------------------------- + -------------------------------------|
| 3/2 3/2 _____________ _____________ 2 5/2 3/2 2 |
| / 2 \ / 2 \ / 2 / 2 -1 + tan (x) / 2 \ / 2 \ / 2 \ |
\ \1 - tan (x)/ \1 - tan (x)/ \/ 1 - tan (x) \/ 1 - tan (x) \1 - tan (x)/ \1 - tan (x)/ \-1 + tan (x)/ /
$$9 \left(\tan^{2}{\left(x \right)} + 1\right) \left(\frac{4 \tan^{2}{\left(x \right)} \operatorname{asin}^{2}{\left(\tan{\left(x \right)} \right)}}{\sqrt{- \tan^{2}{\left(x \right)} + 1}} - \frac{48 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} \operatorname{asin}{\left(\tan{\left(x \right)} \right)}}{\tan^{2}{\left(x \right)} - 1} + \frac{24 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan{\left(x \right)} \operatorname{asin}{\left(\tan{\left(x \right)} \right)}}{\left(\tan^{2}{\left(x \right)} - 1\right)^{2}} + \frac{2 \left(\tan^{2}{\left(x \right)} + 1\right) \operatorname{asin}^{2}{\left(\tan{\left(x \right)} \right)}}{\sqrt{- \tan^{2}{\left(x \right)} + 1}} + \frac{6 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} \operatorname{asin}^{2}{\left(\tan{\left(x \right)} \right)}}{\left(- \tan^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}} + \frac{\left(\tan^{2}{\left(x \right)} + 1\right)^{2} \operatorname{asin}^{2}{\left(\tan{\left(x \right)} \right)}}{\left(- \tan^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}} + \frac{3 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan^{2}{\left(x \right)} \operatorname{asin}^{2}{\left(\tan{\left(x \right)} \right)}}{\left(- \tan^{2}{\left(x \right)} + 1\right)^{\frac{5}{2}}} + \frac{56 \left(\tan^{2}{\left(x \right)} + 1\right)^{2}}{\left(- \tan^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}}\right) \operatorname{asin}^{6}{\left(\tan{\left(x \right)} \right)}$$