2
/ _________\ 7*sin (x)
2*atan\\/ 7*x + 1 /*cos(x)*sin(x) + -----------------------
_________
2*(2 + 7*x)*\/ 7*x + 1
$$2 \sin{\left(x \right)} \cos{\left(x \right)} \operatorname{atan}{\left(\sqrt{7 x + 1} \right)} + \frac{7 \sin^{2}{\left(x \right)}}{2 \sqrt{7 x + 1} \left(7 x + 2\right)}$$
2 / 1 2 \
49*sin (x)*|------- + -------|
/ 2 2 \ / _________\ 14*cos(x)*sin(x) \1 + 7*x 2 + 7*x/
- 2*\sin (x) - cos (x)/*atan\\/ 1 + 7*x / + --------------------- - ------------------------------
_________ _________
\/ 1 + 7*x *(2 + 7*x) 4*\/ 1 + 7*x *(2 + 7*x)
$$- 2 \left(\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right) \operatorname{atan}{\left(\sqrt{7 x + 1} \right)} - \frac{49 \left(\frac{2}{7 x + 2} + \frac{1}{7 x + 1}\right) \sin^{2}{\left(x \right)}}{4 \sqrt{7 x + 1} \left(7 x + 2\right)} + \frac{14 \sin{\left(x \right)} \cos{\left(x \right)}}{\sqrt{7 x + 1} \left(7 x + 2\right)}$$
2 / 3 8 4 \
343*sin (x)*|---------- + ---------- + -------------------| / 1 2 \
/ 2 2 \ | 2 2 (1 + 7*x)*(2 + 7*x)| 147*|------- + -------|*cos(x)*sin(x)
21*\sin (x) - cos (x)/ / _________\ \(1 + 7*x) (2 + 7*x) / \1 + 7*x 2 + 7*x/
- ---------------------- - 8*atan\\/ 1 + 7*x /*cos(x)*sin(x) + ----------------------------------------------------------- - -------------------------------------
_________ _________ _________
\/ 1 + 7*x *(2 + 7*x) 8*\/ 1 + 7*x *(2 + 7*x) 2*\/ 1 + 7*x *(2 + 7*x)
$$- 8 \sin{\left(x \right)} \cos{\left(x \right)} \operatorname{atan}{\left(\sqrt{7 x + 1} \right)} - \frac{147 \left(\frac{2}{7 x + 2} + \frac{1}{7 x + 1}\right) \sin{\left(x \right)} \cos{\left(x \right)}}{2 \sqrt{7 x + 1} \left(7 x + 2\right)} - \frac{21 \left(\sin^{2}{\left(x \right)} - \cos^{2}{\left(x \right)}\right)}{\sqrt{7 x + 1} \left(7 x + 2\right)} + \frac{343 \left(\frac{8}{\left(7 x + 2\right)^{2}} + \frac{4}{\left(7 x + 1\right) \left(7 x + 2\right)} + \frac{3}{\left(7 x + 1\right)^{2}}\right) \sin^{2}{\left(x \right)}}{8 \sqrt{7 x + 1} \left(7 x + 2\right)}$$