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Calculus Examples
Step-by-Step Examples
Calculus
Parametric Equations and Polar Coordinates
Eliminate the Parameter
x
=
t
x
=
t
,
y
=
t
2
y
=
t
2
Step 1
Set
up the parametric
equation
for
x
(
t
)
x
(
t
)
to solve the
equation
for
t
t
.
x
=
t
x
=
t
Step 2
Rewrite the
equation
as
t
=
x
t
=
x
.
t
=
x
t
=
x
Step 3
Replace
t
t
in the
equation
for
y
y
to get the
equation
in
terms
of
x
x
.
y
=
(
x
)
2
y
=
(
x
)
2
Step 4
Remove parentheses.
y
=
x
2
y
=
x
2
Enter YOUR Problem
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⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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