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Mathematics
Mathematics
Problem
(i) Resolve the fraction
7
x
+
5
(
x
−
2
)
(
x
+
3
)
\frac{7x+5}{(x-2)(x+3)}
(
x
−
2
)
(
x
+
3
)
7
x
+
5
into partial fractions with linear denominators. (ii) Hence evaluate the integral
∫
7
x
+
5
(
x
−
2
)
(
x
+
3
)
d
x
.
\int \frac{7x+5}{(x-2)(x+3)}\,dx.
∫
(
x
−
2
)
(
x
+
3
)
7
x
+
5
d
x
.
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