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Mathematics
Problem
Evaluate the definite integral
∫
1
2
(
4
x
−
4
x
+
1
)
d
x
\displaystyle \int_{1}^{2}\left(\frac{4}{x}-\frac{4}{x+1}\right)\,dx
∫
1
2
(
x
4
−
x
+
1
4
)
d
x
. a)
2
ln
(
4
3
)
2\ln\left(\dfrac{4}{3}\right)
2
ln
(
3
4
)
b)
4
ln
(
4
3
)
4\ln\left(\dfrac{4}{3}\right)
4
ln
(
3
4
)
c)
4
ln
(
3
2
)
4\ln\left(\dfrac{3}{2}\right)
4
ln
(
2
3
)
d)
2
ln
(
3
2
)
2\ln\left(\dfrac{3}{2}\right)
2
ln
(
2
3
)
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