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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
∫
(
x
−
1
)
(
x
+
1
)
x
3
+
x
2
+
x
d
x
\int \frac{(x-1)}{(x+1) \sqrt{x^3 + x^2 + x}} dx
∫
(
x
+
1
)
x
3
+
x
2
+
x
(
x
−
1
)
d
x
(1)
tan
−
1
(
x
+
1
x
+
1
)
+
C
\tan^{-1} \left( x + \frac{1}{x} + 1 \right) + C
tan
−
1
(
x
+
x
1
+
1
)
+
C
(2)
tan
−
1
x
+
1
x
+
1
+
C
\tan^{-1} \sqrt{x + \frac{1}{x} + 1} + C
tan
−
1
x
+
x
1
+
1
+
C
(3)
2
tan
−
1
x
+
1
x
+
1
+
C
2 \tan^{-1} \sqrt{x + \frac{1}{x} + 1} + C
2
tan
−
1
x
+
x
1
+
1
+
C
(4) None of these
Related theory
Inverse Trigonometric Functions
Trigonometric Functions
Integration Techniques
Integration by Substitution
Integrals
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