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For the antiderivative
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
For the antiderivative
∫
d
x
x
2
−
a
2
=
1
2
a
ln
∣
x
−
a
x
+
a
∣
+
C
\displaystyle \int \frac{dx}{x^{2}-a^{2}}=\frac{1}{2a}\ln\left|\frac{x-a}{x+a}\right|+C
∫
x
2
−
a
2
d
x
=
2
a
1
ln
x
+
a
x
−
a
+
C
, the parameter
a
a
a
must satisfy which of the following conditions so that the expression is defined? (a)
a
>
0
a>0
a
>
0
(b)
a
=
0
a=0
a
=
0
(c)
a
≠
0
a\neq 0
a
=
0
(d)
a
<
0
a<0
a
<
0
Related theory
Integration Techniques
Integration by partial fractions
Integrals
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