1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Property 1
The value of ...
Question
The value of the integral I =
∫
1
0
x
(
1
−
x
)
n
d
x
is
A
1
n
+
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
1
n
+
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1
n
+
1
−
1
n
+
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
1
n
+
1
+
1
n
+
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
C
1
n
+
1
−
1
n
+
2
l
=
∫
1
0
x
(
1
−
x
)
6
n
d
x
l
=
∫
1
0
(
1
−
x
)
x
n
d
x
(
∵
∫
a
0
f
(
x
)
d
x
=
∫
a
0
f
(
a
−
x
)
d
x
)
l
=
(
x
n
+
1
n
+
1
−
x
n
+
2
n
+
2
)
1
0
l
=
1
n
+
1
−
1
n
+
2
Suggest Corrections
0
Similar questions
Q.
The mean of 1, 2, 3, 4 ...n is given by