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Mathematics
Mathematics
Problem
If
∫
ln
(
x
2
+
x
)
d
x
=
x
ln
(
x
2
+
x
)
+
A
\int \ln(x^2 + x) \, dx = x \ln(x^2 + x) + A
∫
ln
(
x
2
+
x
)
d
x
=
x
ln
(
x
2
+
x
)
+
A
, then
A
=
A =
A
=
(a)
2
x
+
ln
(
x
+
1
)
+
constant
2x + \ln(x+1) + \text{constant}
2
x
+
ln
(
x
+
1
)
+
constant
(b)
2
x
−
ln
(
x
+
1
)
+
constant
2x - \ln(x+1) + \text{constant}
2
x
−
ln
(
x
+
1
)
+
constant
(c) Constant (d) None of these (a)
2
x
+
ln
(
x
+
1
)
+
constant
2x + \ln(x+1) + \text{constant}
2
x
+
ln
(
x
+
1
)
+
constant
(b)
2
x
−
ln
(
x
+
1
)
+
constant
2x - \ln(x+1) + \text{constant}
2
x
−
ln
(
x
+
1
)
+
constant
(c) Constant (d) None of these
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