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JEE Advanced
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Mathematics
List of top Mathematics Questions on Integration by Parts asked in JEE Advanced
If I(m,n) =
∫
0
1
t
m
(
1
+
t
)
n
d
t
,
\int_0^1 t^m(1+t)n dt ,
∫
0
1
t
m
(
1
+
t
)
n
d
t
,
then the expression for I(m, n) in terms of I(m + 1, n - 1) is
JEE Advanced - 2003
JEE Advanced
Mathematics
Integration by Parts
The integral
∫
−
1
/
2
1
/
2
(
[
x
]
+
log
(
1
+
x
1
−
x
)
)
d
x
\int\limits^{1/2}_{-1/2} \bigg ([x] + \log \bigg ( \frac{1+ x}{1 - x} \bigg ) \bigg ) \, dx
−
1/2
∫
1/2
(
[
x
]
+
lo
g
(
1
−
x
1
+
x
)
)
d
x
equals
JEE Advanced - 2002
JEE Advanced
Mathematics
Integration by Parts