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Practice: Mixed Integrals Evaluate ∫_ ^ 1/(x^4+2x^2+1)dx
Related Topics
Wize University Calculus 2 Textbook > Integration Techniques
Mixed Integration Questions
7 Activities
Practice: Mixed Integrals
Evaluate
∫
1
x
4
+
2
x
2
+
1
d
x
\displaystyle\int_{ }^{ }\frac{1}{x^4+2x^2+1}dx
∫
x
4
+
2
x
2
+
1
1
d
x
1
2
arctan
x
+
(
1
2
)
(
x
x
2
+
1
)
+
C
\displaystyle\frac{1}{2}\arctan x+\left(\frac{1}{2}\right)\left(\frac{x}{\sqrt{x^2+1}}\right)+C
2
1
arctan
x
+
(
2
1
)
(
x
2
+
1
x
)
+
C
1
2
arctan
x
+
(
1
2
)
(
x
x
2
+
1
)
+
C
\displaystyle\frac{1}{2}\arctan x+\left(\frac{1}{2}\right)\left(\frac{x}{x^2+1}\right)+C
2
1
arctan
x
+
(
2
1
)
(
x
2
+
1
x
)
+
C
1
2
arctan
x
+
x
x
2
+
1
+
C
\displaystyle\frac{1}{2}\arctan x+\frac{x}{\sqrt{x^2+1}}+C
2
1
arctan
x
+
x
2
+
1
x
+
C
−
1
2
x
(
x
2
+
1
)
+
C
\displaystyle-\frac{1}{2x\left(x^2+1\right)}+C
−
2
x
(
x
2
+
1
)
1
+
C
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More Mixed Integration Questions Questions:
Mixed Integral
Practice: Mixed Integrals
Evaluate
∫
x
+
1
x
2
−
2
x
+
6
d
x
\displaystyle\int_{ }^{ }\frac{x+1}{x^2-2x+6}dx
∫
x
2
−
2
x
+
6
x
+
1
d
x