3 3 3 4 2
- ------------- + 4*x *sin (5*x) + 15*x *sin (5*x)*cos(5*x)
__________
/ 2
\/ 1 - 9*x
$$15 x^{4} \sin^{2}{\left(5 x \right)} \cos{\left(5 x \right)} + 4 x^{3} \sin^{3}{\left(5 x \right)} - \frac{3}{\sqrt{1 - 9 x^{2}}}$$
/ 9 3 3 3 2 2 3 2 \
3*x*|- ------------- - 25*x *sin (5*x) + 4*x*sin (5*x) + 40*x *sin (5*x)*cos(5*x) + 50*x *cos (5*x)*sin(5*x)|
| 3/2 |
| / 2\ |
\ \1 - 9*x / /
$$3 x \left(- 25 x^{3} \sin^{3}{\left(5 x \right)} + 50 x^{3} \sin{\left(5 x \right)} \cos^{2}{\left(5 x \right)} + 40 x^{2} \sin^{2}{\left(5 x \right)} \cos{\left(5 x \right)} + 4 x \sin^{3}{\left(5 x \right)} - \frac{9}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}}\right)$$
/ 2 \
| 9 3 3 243*x 3 4 3 4 2 2 2 3 2 |
3*|- ------------- - 300*x *sin (5*x) - ------------- + 8*x*sin (5*x) + 250*x *cos (5*x) - 875*x *sin (5*x)*cos(5*x) + 180*x *sin (5*x)*cos(5*x) + 600*x *cos (5*x)*sin(5*x)|
| 3/2 5/2 |
| / 2\ / 2\ |
\ \1 - 9*x / \1 - 9*x / /
$$3 \left(- 875 x^{4} \sin^{2}{\left(5 x \right)} \cos{\left(5 x \right)} + 250 x^{4} \cos^{3}{\left(5 x \right)} - 300 x^{3} \sin^{3}{\left(5 x \right)} + 600 x^{3} \sin{\left(5 x \right)} \cos^{2}{\left(5 x \right)} + 180 x^{2} \sin^{2}{\left(5 x \right)} \cos{\left(5 x \right)} - \frac{243 x^{2}}{\left(1 - 9 x^{2}\right)^{\frac{5}{2}}} + 8 x \sin^{3}{\left(5 x \right)} - \frac{9}{\left(1 - 9 x^{2}\right)^{\frac{3}{2}}}\right)$$