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Identify an appropriate substitution that would simplify the integral into the form .
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
Identify an appropriate substitution
u
u
u
that would simplify the integral
∫
2
x
−
5
x
2
−
5
x
+
9
d
x
\displaystyle\int \frac{2x-5}{x^{2}-5x+9}\,dx
∫
x
2
−
5
x
+
9
2
x
−
5
d
x
into the form
∫
1
u
d
u
\int \frac{1}{u}\,du
∫
u
1
d
u
.
Related theory
Integration Techniques
Integration by Substitution
Integrals
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