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Byju's Answer
Standard XII
Physics
Definite Integrals
Integrate wit...
Question
Integrate with respect to
t
.
∫
(
4
cos
t
+
t
2
)
d
t
A
4
sin
t
+
t
3
3
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B
4
sin
t
−
t
3
3
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C
4
sin
t
+
2
t
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D
4
sin
t
+
t
3
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Solution
The correct option is
D
4
sin
t
+
t
3
3
Let
I
=
∫
(
4
cos
t
+
t
2
)
d
t
=
4
∫
cos
t
d
t
+
∫
t
2
d
t
=
4
sin
t
+
t
3
3
+
c
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1
Similar questions
Q.
The curve represented by
x
=
3
cos
t
+
3
sin
t
and
y
=
4
cos
t
−
4
sin
t
is
Q.
If
x
=
sin
t
,
y
=
cos
2
t
then prove that
d
y
d
x
=
−
4
sin
t
.
Q.
If
x
(
t
)
=
3
cos
t
,
y
(
t
)
=
2
+
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sin
t
, what is the approximate value of
x
when
y
=
5
?
Q.
The angle at which the curve
y
=
x
2
and the curve
x
=
5
3
cos
t
,
y
=
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sin
t
intersect is
Q.
Integrate the following functions with respect to t:
∫
(
4
cos
t
+
t
2
)
d
t
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