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Mixed Integral
Related Topics
Wize University Calculus 2 Textbook > Integration Techniques
Mixed Integration Questions
7 Activities
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
1
2
ln
∣
(
x
−
1
)
2
+
5
∣
+
2
5
arctan
(
x
−
1
)
+
C
\frac{1}{2\ln\left|\left(x-1\right)^2+5\right|}+\frac{2}{5}\arctan\left(x-1\right)+C
2
l
n
∣
(
x
−
1
)
2
+
5
∣
1
+
5
2
arctan
(
x
−
1
)
+
C
1
2
ln
∣
x
2
−
2
x
+
6
∣
+
C
\frac{1}{2}\ln\left|x^2-2x+6\right|+C
2
1
ln
x
2
−
2
x
+
6
+
C
1
2
ln
∣
(
x
−
1
)
2
+
5
∣
+
C
\frac{1}{2\ln\left|\left(x-1\right)^2+5\right|}+C
2
l
n
∣
(
x
−
1
)
2
+
5
∣
1
+
C
1
2
ln
∣
(
x
−
1
)
2
+
5
∣
+
2
5
arctan
(
x
−
1
5
)
+
C
\frac{1}{2}\ln\left|\left(x-1\right)^2+5\right|+\frac{2}{\sqrt{5}}\arctan\left(\frac{x-1}{\sqrt{5}}\right)+C
2
1
ln
(
x
−
1
)
2
+
5
+
5
2
arctan
(
5
x
−
1
)
+
C
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Check Submission
More Mixed Integration Questions Questions:
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