Definite integrals - UNSA MP 2001
1 variable: theory and application
180 2001
3
U1
analysis, calculus
change of variable, variable change, Chasles, function average, area, function


This is the translation of a sheet designed for first year students of mathematics and physics at Université de Nice - Sophia Antipolis, of year 2000-2001.  Each student has had 3 hours to work on this sheet.

:U1/analysis/oefdefint.en
exo=Fonctiondrive&exo=Fonctiondrive2&qnum=2&qcmlevel=3
10
1
Function and derivative
compute the value of a function using definite integral.
:U1/analysis/oefdefint.en
exo=ChangevarI&exo=ChangevarII&qnum=2&qcmlevel=3
10
1
Change of variable
in a definite integral.
:U1/analysis/graphint.en
asktype=1&present=3&list=3&repeat=2
20
0.7
Graphic integral level I
recognize the graph of the integral of a function.
:U1/analysis/graphint.en
asktype=1&asktype=2&asktype=3&asktype=4&present=4&list=4&repeat=2
20
1
Graphic integral level II
recognize the graph of the integral of a function.
:U1/analysis/graphint.en
asktype=1&asktype=2&asktype=3&asktype=4&present=6&list=6&repeat=0
30
1
Graphic integral level III
recognize the graph of the integral of a function.
:U1/analysis/oefdefint.en
exo=Moyennedefonct&qnum=2&qcmlevel=3
10
1
Average of a function
by definite integral.
:U1/analysis/oefdefint.en
exo=Changementdebo&exo=Changementdebo2&exo=Changementdebo3&qnum=3&qcmlevel=3
10
1
Change of boundary
in an integration
:U1/analysis/oefdefintphys.en
exo=Acclrationcons&qnum=1&qcmlevel=3
10
0.5
Constant acceleration
easy application in mechanics.
:U1/analysis/oefdefintgeom.en
exo=pararea&exo=pararea2&qnum=2&qcmlevel=3
10
1
Area computation
level I.
:U1/analysis/oefdefintgeom.en
exo=cubicarea&exo=parcirc&qnum=2&qcmlevel=3
10
1.7
Area computation
level II.
:U1/analysis/oefdefintgeom.en
exo=eclipse&qnum=1&qcmlevel=3
10
1.5
Area computation
level III.
