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Byju's Answer
Standard XII
Mathematics
Algebra of Limits
Find the valu...
Question
Find the value of
ℓ
n
(
∫
1
0
e
t
2
+
t
(
2
t
2
+
t
+
1
)
d
t
)
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Solution
∫
1
0
e
t
2
+
t
(
2
t
2
+
t
+
1
)
d
t
=
∫
1
0
1.
e
t
2
+
t
d
t
+
∫
1
0
e
t
2
+
t
(
2
t
2
+
t
)
d
t
=
[
t
.
e
t
2
+
t
]
1
0
−
∫
1
0
e
t
2
+
t
(
2
t
+
1
)
(
t
)
d
t
+
∫
1
0
e
t
2
+
t
(
2
t
2
+
t
)
d
t
=
e
2
ln
(
∫
1
0
e
t
2
+
t
(
2
t
2
+
t
+
1
)
d
t
=
ln
(
e
2
)
=
2
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0
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