login  home  contents  what's new  discussion  bug reports     help  links  subscribe  changes  refresh  edit

fricas
integrate(cos(sqrt y)^3*y,y)

\label{eq1}{\left(
\begin{array}{@{}l}
\displaystyle
{{\left({
\begin{array}{@{}l}
\displaystyle
{{\left({{18}\  y}-{12}\right)}\ {\sqrt{y}}\ {{\cos \left({\sqrt{y}}\right)}^{2}}}+ 
\
\
\displaystyle
{{\left({{36}\  y}-{240}\right)}\ {\sqrt{y}}}
(1)
Type: Union(Expression(Integer),...)
fricas
integrate(cos(sqrt y)*y,y)/3::OutputForm+(integrate(cos(sqrt z)*z,z)/3)::OutputForm

\label{eq2}\begin{array}{@{}l}
\displaystyle
{{{{\left({2 \  y}-{12}\right)}\ {\sqrt{y}}\ {\sin \left({\sqrt{y}}\right)}}+{{\left({6 \  y}-{12}\right)}\ {\cos \left({\sqrt{y}}\right)}}}\over 3}+ 
\
\
\displaystyle
{{{{\left({2 \  z}-{12}\right)}\ {\sqrt{z}}\ {\sin \left({\sqrt{z}}\right)}}+{{\left({6 \  z}-{12}\right)}\ {\cos \left({\sqrt{z}}\right)}}}\over 3}
(2)
fricas
(z+1)^16

\label{eq3}\begin{array}{@{}l}
\displaystyle
{{z}^{16}}+{{16}\ {{z}^{15}}}+{{120}\ {{z}^{14}}}+{{560}\ {{z}^{13}}}+{{1820}\ {{z}^{12}}}+{{4368}\ {{z}^{11}}}+ 
\
\
\displaystyle
{{8008}\ {{z}^{10}}}+{{11440}\ {{z}^{9}}}+{{12870}\ {{z}^{8}}}+{{11440}\ {{z}^{7}}}+{{8008}\ {{z}^{6}}}+ 
\
\
\displaystyle
{{4368}\ {{z}^{5}}}+{{1820}\ {{z}^{4}}}+{{560}\ {{z}^{3}}}+{{1
20}\ {{z}^{2}}}+{{16}\  z}+ 1 
(3)
Type: Polynomial(Integer)
fricas
f:=operator 'f

\label{eq4}f(4)
fricas
differentiate(f(1/sin(x)),x)

\label{eq5}-{{{\cos \left({x}\right)}\ {{f_{\ }^{,}}\left({1 \over{\sin \left({x}\right)}}\right)}}\over{{\sin \left({x}\right)}^{2}}}(5)
Type: Expression(Integer)
fricas
integrate(1/sqrt(x^3-1),x)

\label{eq6}\int^{
\displaystyle
x}{{1 \over{\sqrt{{{\%A}^{3}}- 1}}}\ {d \%A}}(6)
Type: Union(Expression(Integer),...)




  Subject:   Be Bold !!
  ( 13 subscribers )  
Please rate this page: