ExamplesExample 1: Evaluate Solution:
Example 2: Evaluate Solution:
Example 3: Find all the antiderivatives of Solution: This question is just another way to ask that
Example 4: Evaluate Solution:
Example 5: Evaluate Solution:
Example 6: Suppose Solution:
Example 7: Suppose a particle is moving along a line so that the velocity at time t is given by Solution:
Since So
|
(Formula 12, applied twice)
(Formula 11)
(Formula 2)
(Arithmetic)
(Formula 12)
(Formula 11)
(Algebra)
(Formula 2)
(Arithmetic)
.
be evaluated.
(Formula 12)
(Formula 11)
(Formulae 2 and 7)
(Arithmetic)
(Algebra)
(Trig Relationships)
(Formula 9)
.
(Algebra)
(Formula 12)
(Formula 11)
(Formulae 5 and 6)
(Algebra)
. Find the function 
(Formula 12)
(Formula 11)
(Formulae 2 and 6)
(Algebra)
(Formula 12)
(Formula 11)
(Formulae 2 and 5)
(Algebra)
. The displacement 
at time 
is zero. Find the displacement at any time t.
(Formula 12)
(Formulae 3 and 5)
(Algebra)
, 
.
.
