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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
∫
x
4
−
2
x
2
x
4
+
x
2
+
2
d
x
\int \frac{x^4 - 2}{x^2 \sqrt{x^4 + x^2 + 2}} dx
∫
x
2
x
4
+
x
2
+
2
x
4
−
2
d
x
(1)
x
2
+
1
+
1
x
2
+
C
\sqrt{x^2 + 1 + \frac{1}{x^2}} + C
x
2
+
1
+
x
2
1
+
C
(2)
x
2
+
1
+
2
x
2
+
C
\sqrt{x^2 + 1 + \frac{2}{x^2}} + C
x
2
+
1
+
x
2
2
+
C
(3)
x
2
+
1
x
2
+
C
\sqrt{x^2 + \frac{1}{x^2}} + C
x
2
+
x
2
1
+
C
(4)
x
2
+
2
x
2
+
C
\sqrt{x^2 + \frac{2}{x^2}} + C
x
2
+
x
2
2
+
C
Related theory
Integration Techniques
Standard algebraic integrals
Integrals of additional types
Integrals
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