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Problems
If
∫
1
a
2
sin
2
x
+
b
2
cos
2
x
d
x
=
1
12
tan
−
1
(
3
tan
x
)
+
constant
\int \frac{1}{a^2 \sin^2 x + b^2 \cos^2 x} dx = \frac{1}{12} \tan^{-1} (3 \tan x) + \text{constant}
∫
a
2
s
i
n
2
x
+
b
2
c
o
s
2
x
1
d
x
=
12
1
tan
−
1
(
3
tan
x
)
+
constant
…
Mathematics
Problem
If
∫
1
a
2
sin
2
x
+
b
2
cos
2
x
d
x
=
1
12
tan
−
1
(
3
tan
x
)
+
constant
\int \frac{1}{a^2 \sin^2 x + b^2 \cos^2 x} dx = \frac{1}{12} \tan^{-1} (3 \tan x) + \text{constant}
∫
a
2
s
i
n
2
x
+
b
2
c
o
s
2
x
1
d
x
=
12
1
tan
−
1
(
3
tan
x
)
+
constant
, then the maximum value of
a
sin
x
+
b
cos
x
a \sin x + b \cos x
a
sin
x
+
b
cos
x
is: (a)
41
\sqrt{41}
41
(b)
42
\sqrt{42}
42
(c)
40
\sqrt{40}
40
(d)
39
\sqrt{39}
39
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