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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
∫
x
2
+
x
−
1
x
2
+
x
−
6
d
x
=
\int\frac{x^2+x-1}{x^2+x-6}\,dx=
∫
x
2
+
x
−
6
x
2
+
x
−
1
d
x
=
(a)
x
+
log
(
x
+
3
)
+
log
(
x
−
2
)
+
C
x+\log(x+3)+\log(x-2)+C
x
+
lo
g
(
x
+
3
)
+
lo
g
(
x
−
2
)
+
C
(b)
x
−
log
(
x
+
3
)
+
log
(
x
−
2
)
+
C
x-\log(x+3)+\log(x-2)+C
x
−
lo
g
(
x
+
3
)
+
lo
g
(
x
−
2
)
+
C
(c)
x
−
log
(
x
+
3
)
−
log
(
x
−
2
)
+
C
x-\log(x+3)-\log(x-2)+C
x
−
lo
g
(
x
+
3
)
−
lo
g
(
x
−
2
)
+
C
(d) None of these
Related theory
Antiderivatives
Integration Techniques
Integration by partial fractions
Integrals
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