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Mathematics
Mathematics
Problem
Calculate
∫
0
π
/
4
cos
x
1
+
sin
x
d
x
\displaystyle \int_{0}^{\pi/4} \frac{\cos x}{1+\sin x}\,dx
∫
0
π
/4
1
+
sin
x
cos
x
d
x
. a)
ln
(
2
2
)
\ln\left(\dfrac{\sqrt2}{2}\right)
ln
(
2
2
)
b)
ln
(
1
+
2
)
\ln\left(1+\sqrt2\right)
ln
(
1
+
2
)
c)
ln
(
1
+
2
2
)
\ln\left(1+\dfrac{\sqrt2}{2}\right)
ln
(
1
+
2
2
)
d)
ln
(
1
−
2
2
)
\ln\left(1-\dfrac{\sqrt2}{2}\right)
ln
(
1
−
2
2
)
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