Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Evaluate
∫
−
2
0
d
x
2
x
2
+
8
x
+
9
\displaystyle\int_{-2}^{0}\frac{dx}{2x^{2}+8x+9}
∫
−
2
0
2
x
2
+
8
x
+
9
d
x
. (a)
2
arctan
(
2
2
)
\sqrt{2}\,\arctan\!\left(2\sqrt{2}\right)
2
arctan
(
2
2
)
(b)
1
2
arctan
(
2
2
)
\dfrac{1}{2}\,\arctan\!\left(2\sqrt{2}\right)
2
1
arctan
(
2
2
)
(c)
2
2
arctan
(
2
2
)
\dfrac{\sqrt{2}}{2}\,\arctan\!\left(2\sqrt{2}\right)
2
2
arctan
(
2
2
)
(d)
2
2
arctan
(
2
2
)
\dfrac{\sqrt{2}}{2}\,\arctan\!\left(\dfrac{2}{\sqrt{2}}\right)
2
2
arctan
(
2
2
)
Related theory
Antiderivatives
Integration Techniques
Standard algebraic integrals
Integrals of additional types
Integrals
Browse the problem library