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Mathematics
Mathematics
Problem
Compute the exact value of
∫
0
ln
4
2
x
e
x
2
1
+
e
x
2
d
x
\displaystyle \int_{0}^{\sqrt{\ln 4}} \frac{2x\,e^{x^{2}}}{1+e^{x^{2}}}\,dx
∫
0
l
n
4
1
+
e
x
2
2
x
e
x
2
d
x
. a)
ln
(
3
2
)
\ln\!\left(\dfrac{3}{2}\right)
ln
(
2
3
)
b)
ln
5
\ln 5
ln
5
c)
ln
(
5
2
)
\ln\!\left(\dfrac{5}{2}\right)
ln
(
2
5
)
d)
ln
2
\ln 2
ln
2
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