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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
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 (1)
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
(2)
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
(3)
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
(4)
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
Related theory
Integration Techniques
Standard trigonometric integrals
Integration using trigonometric identities
Integrals
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