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Mathematics
Mathematics
Problem
(i) Differentiate
ln
∣
x
2
−
4
x
+
7
∣
\ln|x^{2}-4x+7|
ln
∣
x
2
−
4
x
+
7∣
with respect to
x
x
x
. (ii) Hence, find
∫
2
x
−
4
x
2
−
4
x
+
7
d
x
\displaystyle \int \frac{2x-4}{x^{2}-4x+7}\,dx
∫
x
2
−
4
x
+
7
2
x
−
4
d
x
. a. Differentiate
ln
∣
x
2
−
4
x
+
7
∣
\ln|x^{2}-4x+7|
ln
∣
x
2
−
4
x
+
7∣
with respect to
x
x
x
. b. Hence, find
∫
2
x
−
4
x
2
−
4
x
+
7
d
x
\displaystyle \int \frac{2x-4}{x^{2}-4x+7}\,dx
∫
x
2
−
4
x
+
7
2
x
−
4
d
x
.
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