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If then is equal to
MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals
Problem
If
∫
(
sin
2
x
+
2
tan
x
)
d
x
cos
6
x
+
6
cos
2
x
+
4
=
1
a
log
(
1
+
b
cos
4
x
+
d
cos
6
x
)
+
C
\int \frac{(\sin 2x + 2 \tan x)\,dx}{\cos^6 x + 6 \cos^2 x + 4} = \frac{1}{a} \log\left(1 + \frac{b}{\cos^4 x} + \frac{d}{\cos^6 x}\right) + C
∫
c
o
s
6
x
+
6
c
o
s
2
x
+
4
(
s
i
n
2
x
+
2
t
a
n
x
)
d
x
=
a
1
lo
g
(
1
+
c
o
s
4
x
b
+
c
o
s
6
x
d
)
+
C
then
(
a
−
b
−
d
)
(a - b - d)
(
a
−
b
−
d
)
is equal to
Related theory
Trigonometric Identities
Trigonometric Functions
Integration Techniques
Integration by substitution
Integrals
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