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JEE Advanced 2015 Paper 2 Mathematics Q13
Mathematics
Problem
The option(s) with the values of
a
a
a
and
L
L
L
that satisfy the following equation is(are)
∫
0
4
π
e
t
(
sin
6
a
t
+
cos
4
a
t
)
d
t
∫
0
π
e
t
(
sin
6
a
t
+
cos
4
a
t
)
d
t
=
L
?
\frac{\displaystyle\int_0^{4\pi}e^t(\sin^6at+\cos^4at)\,dt}{\displaystyle\int_0^{\pi}e^t(\sin^6at+\cos^4at)\,dt}=L\ ?
∫
0
π
e
t
(
sin
6
a
t
+
cos
4
a
t
)
d
t
∫
0
4
π
e
t
(
sin
6
a
t
+
cos
4
a
t
)
d
t
=
L
?
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