Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Determine the value of
∫
0
2
2
x
3
−
3
x
2
+
x
+
5
x
2
+
1
d
x
\displaystyle \int_{0}^{2} \frac{2x^{3}-3x^{2}+x+5}{x^{2}+1}\,dx
∫
0
2
x
2
+
1
2
x
3
−
3
x
2
+
x
+
5
d
x
. a)
−
2
+
1
2
ln
5
+
8
arctan
2
-2+\dfrac{1}{2}\ln 5+8\arctan 2
−
2
+
2
1
ln
5
+
8
arctan
2
b)
−
2
−
1
2
ln
5
+
4
arctan
2
-2-\dfrac{1}{2}\ln 5+4\arctan 2
−
2
−
2
1
ln
5
+
4
arctan
2
c)
−
2
−
1
2
ln
5
+
8
arctan
2
-2-\dfrac{1}{2}\ln 5+8\arctan 2
−
2
−
2
1
ln
5
+
8
arctan
2
d)
−
2
−
1
2
ln
5
+
8
ln
2
-2-\dfrac{1}{2}\ln 5+8\ln 2
−
2
−
2
1
ln
5
+
8
ln
2
Browse the problem library