Evaluate the definite integral.
∫
0
π
6
6
e
sin
(
x
)
cos
(
x
)
d
x
\displaystyle {\int_{{{0}}}^{{\frac{\pi}{{6}}}}}{6}{e}^{{{\sin{{\left({x}\right)}}}}}{\cos{{\left({x}\right)}}}{\left.{d}{x}\right.}
∫
0
6
π
6
e
s
i
n
(
x
)
cos
(
x
)
d
x
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\displaystyle
Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity