/ / 2 \ / x\\
16*|4 + 2*x + \8 + x + 4*x/*atan|1 + -||
\ \ 2//
-----------------------------------------
2
8 + x + 4*x
$$\frac{16 \cdot \left(\left(x^{2} + 4 x + 8\right) \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + 2 x + 4\right)}{x^{2} + 4 x + 8}$$
16*(4 + 2*x + (8 + x^2 + 4*x)*atan(1 + x/2))/(8 + x^2 + 4*x)
16.0*atan((2*x + 4)/4) + 256.0*(2.0 + x)/(64.0 + 8.0*x^2 + 32.0*x)
16.0*atan((2*x + 4)/4) + 256.0*(2.0 + x)/(64.0 + 8.0*x^2 + 32.0*x)
/ / x\ 2 / x\ / x\\
16*|4 + 2*x + 8*atan|1 + -| + x *atan|1 + -| + 4*x*atan|1 + -||
\ \ 2/ \ 2/ \ 2//
---------------------------------------------------------------
2
8 + x + 4*x
$$\frac{16 \left(x^{2} \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + 4 x \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + 2 x + 8 \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + 4\right)}{x^{2} + 4 x + 8}$$
16*(4 + 2*x + 8*atan(1 + x/2) + x^2*atan(1 + x/2) + 4*x*atan(1 + x/2))/(8 + x^2 + 4*x)
/2*x + 4\ 256*(2 + x)
16*atan|-------| + ----------------
\ 4 / 2
64 + 8*x + 32*x
$$16 \operatorname{atan}{\left(\frac{2 x + 4}{4} \right)} + \frac{256 \left(x + 2\right)}{8 x^{2} + 32 x + 64}$$
16*atan((2*x + 4)/4) + 256*(2 + x)/(64 + 8*x^2 + 32*x)
Рациональный знаменатель
[src]
/ x\ 512 256*x
16*atan|1 + -| + ---------------- + ----------------
\ 2/ 2 2
64 + 8*x + 32*x 64 + 8*x + 32*x
$$16 \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + \frac{256 x}{8 x^{2} + 32 x + 64} + \frac{512}{8 x^{2} + 32 x + 64}$$
/ x\ 2 / x\ / x\
64 + 32*x + 128*atan|1 + -| + 16*x *atan|1 + -| + 64*x*atan|1 + -|
\ 2/ \ 2/ \ 2/
------------------------------------------------------------------
2
8 + x + 4*x
$$\frac{16 x^{2} \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + 64 x \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + 32 x + 128 \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + 64}{x^{2} + 4 x + 8}$$
(64 + 32*x + 128*atan(1 + x/2) + 16*x^2*atan(1 + x/2) + 64*x*atan(1 + x/2))/(8 + x^2 + 4*x)
/ x\ 64 + 32*x
16*atan|1 + -| + ------------
\ 2/ 2
8 + x + 4*x
$$16 \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + \frac{32 x + 64}{x^{2} + 4 x + 8}$$
16*atan(1 + x/2) + (64 + 32*x)/(8 + x^2 + 4*x)
Тригонометрическая часть
[src]
/ / 2 \ / x\\
16*|4 + 2*x + \8 + x + 4*x/*atan|1 + -||
\ \ 2//
-----------------------------------------
2
8 + x + 4*x
$$\frac{16 \cdot \left(\left(x^{2} + 4 x + 8\right) \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + 2 x + 4\right)}{x^{2} + 4 x + 8}$$
/ / 2 \ / 2 \\
16*|4 + 2*x + \8 + x + 4*x/*acot|-----||
\ \2 + x//
-----------------------------------------
2
8 + x + 4*x
$$\frac{16 \cdot \left(\left(x^{2} + 4 x + 8\right) \operatorname{acot}{\left(\frac{2}{x + 2} \right)} + 2 x + 4\right)}{x^{2} + 4 x + 8}$$
16*(4 + 2*x + (8 + x^2 + 4*x)*acot(2/(2 + x)))/(8 + x^2 + 4*x)
/ x\ 512 + 256*x
16*atan|1 + -| + ----------------
\ 2/ 2
64 + 8*x + 32*x
$$16 \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + \frac{256 x + 512}{8 x^{2} + 32 x + 64}$$
/ x\ 256*(2 + x)
16*atan|1 + -| + ----------------
\ 2/ 2
64 + 32*x + 8*x
$$16 \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + \frac{256 \left(x + 2\right)}{8 x^{2} + 32 x + 64}$$
/ x\ 256*(2 + x)
16*atan|1 + -| + ----------------
\ 2/ 2
64 + 8*x + 32*x
$$16 \operatorname{atan}{\left(\frac{x}{2} + 1 \right)} + \frac{256 \left(x + 2\right)}{8 x^{2} + 32 x + 64}$$
16*atan(1 + x/2) + 256*(2 + x)/(64 + 8*x^2 + 32*x)
Объединение рациональных выражений
[src]
/ / 2 \ /2 + x\\
16*|4 + 2*x + \8 + x + 4*x/*atan|-----||
\ \ 2 //
-----------------------------------------
2
8 + x + 4*x
$$\frac{16 \cdot \left(\left(x^{2} + 4 x + 8\right) \operatorname{atan}{\left(\frac{x + 2}{2} \right)} + 2 x + 4\right)}{x^{2} + 4 x + 8}$$
16*(4 + 2*x + (8 + x^2 + 4*x)*atan((2 + x)/2))/(8 + x^2 + 4*x)