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Question
\( \int I ( x ) \) is odd \( \int \sin ^ { 5 } x \cos ^ { 4 } x d x \)
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Solution
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Similar Questions
Q1
∫
sin
5
x
cos
4
x
d
x
View Solution
Q2
a) Prove that
a
∫
a
f
(
x
)
d
x
=
⎧
⎪ ⎪ ⎪
⎨
⎪ ⎪ ⎪
⎩
2
a
∫
0
f
(
x
)
d
x
if
f
(
x
)
is an even function
0
if
f
(
x
)
is an odd function
and hence evaluate
1
∫
−
1
sin
5
x
cos
4
x
d
x
.
b) Prove that
∣
∣ ∣ ∣
∣
a
2
+
1
a
b
a
c
a
b
b
2
+
1
b
c
c
a
c
b
c
2
+
1
∣
∣ ∣ ∣
∣
=
1
+
a
2
+
b
2
+
c
2
.
View Solution
Q3
If
A
=
[
1
2
(
e
i
x
+
e
−
i
x
)
1
2
(
e
i
x
−
e
−
i
x
)
1
2
(
e
i
x
−
e
−
i
x
)
1
2
(
e
i
x
+
e
−
i
x
)
]
then
A
−
1
exists
View Solution
Q4
Prove that
x
4
+
4
=
(
x
+
1
+
i
)
(
x
+
1
−
i
)
(
x
−
1
+
i
)
(
x
−
1
−
i
)
.
View Solution
Q5
cos
i
x
+
i
sin
i
x
=
?
View Solution
