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Mathematics
Mathematics
Problem
Value of
∫
e
x
(
ln
x
+
1
x
2
)
d
x
\int e^x \left( \ln x + \frac{1}{x^2} \right) dx
∫
e
x
(
ln
x
+
x
2
1
)
d
x
is : (A)
e
x
(
ln
x
+
1
x
)
+
c
e^x \left( \ln x + \frac{1}{x} \right) + c
e
x
(
ln
x
+
x
1
)
+
c
(B)
e
x
(
ln
x
−
1
x
)
+
c
e^x \left( \ln x - \frac{1}{x} \right) + c
e
x
(
ln
x
−
x
1
)
+
c
(C)
−
e
x
(
ln
x
+
1
x
)
+
c
-e^x \left( \ln x + \frac{1}{x} \right) + c
−
e
x
(
ln
x
+
x
1
)
+
c
(D) None of these
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