integrales -- Sage

Integrales Unidad I

1ª f=((x)^4+3*(x)-9) f.integral(x)

1/5*x^5 + 3/2*x^2 - 9*x

1/5*x^5 + 3/2*x^2 - 9*x

2ª f=((x)^4+3*(x)-9) f.integral(x,0,1)

-73/10

-73/10

3ª f=((x)) f.integral(x,0,1)

1/2

1/2

4ª f=(5*(x)^3-10*(x)^-6+4) f.integral(x)

5/4*x^4 + 4*x + 2/x^5

5/4*x^4 + 4*x + 2/x^5

5ª f=((x)^8+(x)^-8) f.integral(x)

1/9*x^9 - 1/7/x^7

1/9*x^9 - 1/7/x^7

6ª f=(3*(x)^(3/4)+7*(x)-5+1/6*(x)^-1/2) f.integral(x)

7/2*x^2 + 12/7*x^(7/4) - 5*x + 1/12*log(x)

7/2*x^2 + 12/7*x^(7/4) - 5*x + 1/12*log(x)

7ª f=((x)^2+1) f.integral(x,0,2)

14/3

14/3

8ª f=((x)^3/2/-2*(x)^1/2) f.integral(x,0,4)

-128/5

-128/5

9ª f=((2*(x)^(5)-(x)^(3)+3)/(x)^(2)) f.integral(x,1,2)

15/2

15/2

10ª f=((x)+(x)^(1/3))*(4-(x)^(2)) f.integral(x)

-1/4*x^4 - 3/10*x^(10/3) + 2*x^2 + 3*x^(4/3)

-1/4*x^4 - 3/10*x^(10/3) + 2*x^2 + 3*x^(4/3)

11ª f=(14*(x)-2*(x)^(-1/3)+5*(x)^(-2)) f.integral(x)

7*x^2 - 3*x^(2/3) - 5/x

7*x^2 - 3*x^(2/3) - 5/x

examen unidad II 7/14/11

Traceback (click to the left of this block for traceback)
...
SyntaxError: invalid syntax

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_3.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("ZXhhbWVuIHVuaWRhZCBJSQo3LzE0LzEx"),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmp_dELjB/___code___.py", line 3
    examen unidad II
                ^
SyntaxError: invalid syntax

var("r") f=((r-10)/r^3) f.integral(r)

-(r - 5)/r^2

-(r - 5)/r^2

f=(((x^-1)-x^-2+x^-3)/x^2) f.integral(r)

(1/x - 1/x^2 + 1/x^3)*r/x^2

(1/x - 1/x^2 + 1/x^3)*r/x^2

f=((x^(2)+2)^(3)*x) f.integral(x)

1/8*(x^2 + 2)^4

1/8*(x^2 + 2)^4

f=(7-2*x)^(4/4)*x f.integral(x)

-2/3*x^3 + 7/2*x^2

-2/3*x^3 + 7/2*x^2

var("a") f=(a^(1/2)-2*a^(1/2)*x^(1/2)+x^(1/2)) f.integral(a)

-4/3*a^(3/2)*sqrt(x) + 2/3*a^(3/2) + a*sqrt(x)

-4/3*a^(3/2)*sqrt(x) + 2/3*a^(3/2) + a*sqrt(x)

f=((x^(2)+1)/sqrt(x^(3)+3*x)) f.integral(x)

2/3*sqrt(x^3 + 3*x)

2/3*sqrt(x^3 + 3*x)

var("t") f=(t^(3)*(a^(4)+t^(4))^-1/2) f.integral(t)

1/8*log(a^4 + t^4)

1/8*log(a^4 + t^4)

f=(3*cos(3*x)) f.integral(x)

sin(3*x)

sin(3*x)

f=(sin(10*x)) f.integral(x)

-1/10*cos(10*x)

-1/10*cos(10*x)

f=(sec(1-4*x)^2) f.integral(x)

1/4*tan(4*x - 1)

1/4*tan(4*x - 1)

f=((cos(x))^(5)) f.integral(x)

1/5*sin(x)^5 - 2/3*sin(x)^3 + sin(x)

1/5*sin(x)^5 - 2/3*sin(x)^3 + sin(x)

f=(cos(x))^2 f.integral(x)

1/2*x + 1/4*sin(2*x)

1/2*x + 1/4*sin(2*x)

f=(sec(5*x+1))^(-1) f.integral(x)

1/5*sin(5*x + 1)

1/5*sin(5*x + 1)

f=(sin(2*x)/cos(x) f.integral(x)

Traceback (click to the left of this block for traceback)
...
SyntaxError: invalid syntax

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_8.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("Zj0oc2luKDIqeCkvY29zKHgpCmYuaW50ZWdyYWwoeCk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpOiudVM/___code___.py", line 4
    exec compile(u'f.integral(x)
       ^
SyntaxError: invalid syntax

examen IV

f=((sec*sqrt(x))/(sqrt(x))) f.integral(x)

Traceback (click to the left of this block for traceback)
...
TypeError: unsupported operand parent(s) for '*': '<class
'sage.functions.trig.Function_sec'>' and 'Symbolic Ring'

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_33.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("Zj0oKHNlYypzcXJ0KHgpKS8oc3FydCh4KSkpCmYuaW50ZWdyYWwoeCk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmps6GRpF/___code___.py", line 2, in <module>
    f=((sec*sqrt(x))/(sqrt(x)))
  File "element.pyx", line 1459, in sage.structure.element.RingElement.__mul__ (sage/structure/element.c:12096)
  File "coerce.pyx", line 766, in sage.structure.coerce.CoercionModel_cache_maps.bin_op (sage/structure/coerce.c:7337)
TypeError: unsupported operand parent(s) for '*': '<class 'sage.functions.trig.Function_sec'>' and 'Symbolic Ring'

var("y") f=(sin(y))/(cos^2(y)) f.integral(y)

Traceback (click to the left of this block for traceback)
...
TypeError: 'sage.rings.integer.Integer' object is not callable

Traceback (most recent call last):
  File "<stdin>", line 1, in <module>
  File "_sage_input_36.py", line 10, in <module>
    exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8 -*-\\n" + _support_.preparse_worksheet_cell(base64.b64decode("dmFyKCJ5IikKZj0oc2luKHkpKS8oY29zXjIoeSkpCmYuaW50ZWdyYWwoeSk="),globals())+"\\n"); execfile(os.path.abspath("___code___.py"))
  File "", line 1, in <module>
    
  File "/tmp/tmpGZV9y7/___code___.py", line 4, in <module>
    f=(sin(y))/(cos**_sage_const_2 (y))
TypeError: 'sage.rings.integer.Integer' object is not callable

integrales

309 days ago by nidia@tecpabellon