Подстановка условия
[src]
log(sqrt(10))*(6 + x - x^2) при x = -4
/ ____\ / 2\
log\\/ 10 /*\6 + x - x /
$$\left(- x^{2} + x + 6\right) \log{\left(\sqrt{10} \right)}$$
/ 2\
\6 + x - x /*log(10)
--------------------
2
$$\frac{\left(- x^{2} + x + 6\right) \log{\left(10 \right)}}{2}$$
$$x = -4$$
/ 2\
\6 + (-4) - (-4) /*log(10)
--------------------------
2
$$\frac{\left(- (-4)^{2} + (-4) + 6\right) \log{\left(10 \right)}}{2}$$
/ 2\
\6 - 4 - (-4) /*log(10)
-----------------------
2
$$\frac{\left(- \left(-4\right)^{2} - 4 + 6\right) \log{\left(10 \right)}}{2}$$
$$- 7 \log{\left(10 \right)}$$
2
log(1000000) x*log(10) x *log(10)
------------ + --------- - ----------
2 2 2
$$- \frac{x^{2} \log{\left(10 \right)}}{2} + \frac{x \log{\left(10 \right)}}{2} + \frac{\log{\left(1000000 \right)}}{2}$$
log(1000000)/2 + x*log(10)/2 - x^2*log(10)/2
Рациональный знаменатель
[src]
/ ____\ / ____\ 2 / ____\
6*log\\/ 10 / + x*log\\/ 10 / - x *log\\/ 10 /
$$- x^{2} \log{\left(\sqrt{10} \right)} + x \log{\left(\sqrt{10} \right)} + 6 \log{\left(\sqrt{10} \right)}$$
6*log(sqrt(10)) + x*log(sqrt(10)) - x^2*log(sqrt(10))
2
x*log(10) x *log(10)
3*log(10) + --------- - ----------
2 2
$$- \frac{x^{2} \log{\left(10 \right)}}{2} + \frac{x \log{\left(10 \right)}}{2} + 3 \log{\left(10 \right)}$$
3*log(10) + x*log(10)/2 - x^2*log(10)/2