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The value of is equal to
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
The value of
∫
−
1
/
3
1
/
3
cos
−
1
(
2
x
1
+
x
2
)
+
tan
−
1
(
2
x
1
−
x
2
)
1
+
e
x
d
x
\int_{-1/\sqrt{3}}^{1/\sqrt{3}} \frac{\cos^{-1}\left(\frac{2x}{1+x^2}\right) + \tan^{-1}\left(\frac{2x}{1-x^2}\right)}{1+e^x} dx
∫
−
1/
3
1/
3
1
+
e
x
c
o
s
−
1
(
1
+
x
2
2
x
)
+
t
a
n
−
1
(
1
−
x
2
2
x
)
d
x
is equal to (1)
π
2
\frac{\pi}{2}
2
π
(2)
π
3
\frac{\pi}{\sqrt{3}}
3
π
(3)
π
2
3
\frac{\pi}{2\sqrt{3}}
2
3
π
(4)
π
3
3
\frac{\pi}{3\sqrt{3}}
3
3
π
Related theory
Inverse Trigonometric Functions
Trigonometric Functions
Properties of Definite Integrals
Accumulation Concepts
Integrals
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