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Integration by Partial Fractions
Related Topics
Wize University Calculus 2 Textbook > Integration Techniques
Partial Fractions
4 Activities
Evaluate the integral
∫
x
+
4
x
2
−
5
x
+
6
d
x
\int_{ }^{ }\frac{x+4}{x^2-5x+6}dx
∫
x
2
−
5
x
+
6
x
+
4
d
x
Use upper case
C
C
C
to denote any constants.
Answer
I don't know
Check Submission
More Partial Fractions Questions:
Integration by Partial Fractions
Evaluate the integral
∫
x
+
4
x
2
−
5
x
+
6
d
x
\int_{ }^{ }\frac{x+4}{x^2-5x+6}dx
∫
x
2
−
5
x
+
6
x
+
4
d
x
Use upper case
C
C
C
to denote any constants.
Example: Partial Fractions
Example: Partial Fractions (w/ Repeated Factors)
Evaluate
∫
x
4
+
x
3
+
6
x
2
+
2
x
+
4
x
(
x
2
+
2
)
2
d
x
.
{\displaystyle\int}\frac{x^4+x^3+6x^2+2x+4}{x(x^2+2)^2}\de{x}.
∫
x
(
x
2
+
2
)
2
x
4
+
x
3
+
6
x
2
+
2
x
+
4
d
x
.
Example: Partial Fractions
Example: Partial Fractions (w/ Repeated Factors)
Evaluate
∫
x
4
+
x
3
+
6
x
2
+
2
x
+
4
x
(
x
2
+
2
)
2
d
x
.
{\displaystyle\int}\frac{x^4+x^3+6x^2+2x+4}{x(x^2+2)^2}\de{x}.
∫
x
(
x
2
+
2
)
2
x
4
+
x
3
+
6
x
2
+
2
x
+
4
d
x
.
Integration by Partial Fractions
Evaluate the integral
∫
x
+
4
x
2
−
5
x
+
6
d
x
\int_{ }^{ }\frac{x+4}{x^2-5x+6}dx
∫
x
2
−
5
x
+
6
x
+
4
d
x
Use upper case
C
C
C
to denote any constants.
Integration by Partial Fractions
Evaluate the integral
∫
x
+
4
x
2
−
5
x
+
6
d
x
\int_{ }^{ }\frac{x+4}{x^2-5x+6}dx
∫
x
2
−
5
x
+
6
x
+
4
d
x
Use upper case
C
C
C
to denote any constants.
Integration by Partial Fractions
Evaluate the integral
∫
x
+
4
x
2
−
5
x
+
6
d
x
\int_{ }^{ }\frac{x+4}{x^2-5x+6}dx
∫
x
2
−
5
x
+
6
x
+
4
d
x
Use upper case
C
C
C
to denote any constants.
Example: Partial Fractions
Example: Partial Fractions (w/ Repeated Factors)
Evaluate
∫
x
4
+
x
3
+
6
x
2
+
2
x
+
4
x
(
x
2
+
2
)
2
d
x
.
{\displaystyle\int}\frac{x^4+x^3+6x^2+2x+4}{x(x^2+2)^2}\de{x}.
∫
x
(
x
2
+
2
)
2
x
4
+
x
3
+
6
x
2
+
2
x
+
4
d
x
.
Example: Partial Fractions
Example: Partial Fractions (w/ Repeated Factors)
Evaluate
∫
x
4
+
x
3
+
6
x
2
+
2
x
+
4
x
(
x
2
+
2
)
2
d
x
.
{\displaystyle\int}\frac{x^4+x^3+6x^2+2x+4}{x(x^2+2)^2}\de{x}.
∫
x
(
x
2
+
2
)
2
x
4
+
x
3
+
6
x
2
+
2
x
+
4
d
x
.
Example: Partial Fractions
Example: Partial Fractions (w/ Repeated Factors)
Evaluate
∫
x
4
+
x
3
+
6
x
2
+
2
x
+
4
x
(
x
2
+
2
)
2
d
x
.
{\displaystyle\int}\frac{x^4+x^3+6x^2+2x+4}{x(x^2+2)^2}\de{x}.
∫
x
(
x
2
+
2
)
2
x
4
+
x
3
+
6
x
2
+
2
x
+
4
d
x
.