Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
To evaluate
∫
d
x
(
x
−
1
)
−
x
2
+
3
x
−
2
\int \frac{dx}{(x-1)\sqrt{-x^2 + 3x - 2}}
∫
(
x
−
1
)
−
x
2
+
3
x
−
2
d
x
one of the most suitable substitution could be a.
−
x
2
+
3
x
−
2
=
u
\sqrt{-x^2 + 3x - 2} = u
−
x
2
+
3
x
−
2
=
u
b.
−
x
2
+
3
x
−
2
=
(
u
x
−
2
)
\sqrt{-x^2 + 3x - 2} = (ux - \sqrt{2})
−
x
2
+
3
x
−
2
=
(
ux
−
2
)
c.
−
x
2
+
3
x
−
2
=
u
(
1
−
x
)
\sqrt{-x^2 + 3x - 2} = u(1-x)
−
x
2
+
3
x
−
2
=
u
(
1
−
x
)
d.
−
x
2
+
3
x
−
2
=
u
(
x
+
2
)
\sqrt{-x^2 + 3x - 2} = u(x+2)
−
x
2
+
3
x
−
2
=
u
(
x
+
2
)
Browse the problem library