Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
∫
tan
4
x
d
x
=
A
tan
3
x
+
B
tan
x
+
f
(
x
)
\int \tan^4 x dx = A \tan^3 x + B \tan x + f(x)
∫
tan
4
x
d
x
=
A
tan
3
x
+
B
tan
x
+
f
(
x
)
, then a.
A
=
1
3
,
B
=
−
1
,
f
(
x
)
=
x
+
C
A = \frac{1}{3}, B = -1, f(x) = x + C
A
=
3
1
,
B
=
−
1
,
f
(
x
)
=
x
+
C
b.
A
=
2
3
,
B
=
−
1
,
f
(
x
)
=
x
+
C
A = \frac{2}{3}, B = -1, f(x) = x + C
A
=
3
2
,
B
=
−
1
,
f
(
x
)
=
x
+
C
c.
A
=
1
3
,
B
=
1
,
f
(
x
)
=
x
+
C
A = \frac{1}{3}, B = 1, f(x) = x + C
A
=
3
1
,
B
=
1
,
f
(
x
)
=
x
+
C
d.
A
=
2
3
,
B
=
1
,
f
(
x
)
=
−
x
+
C
A = \frac{2}{3}, B = 1, f(x) = -x + C
A
=
3
2
,
B
=
1
,
f
(
x
)
=
−
x
+
C
Browse the problem library