Evaluate the definite integral
∫
0
π
2
e
sin
(
r
)
cos
(
r
)
d
r
\displaystyle {\int_{{{0}}}^{{\frac{\pi}{{2}}}}}{e}^{{{\sin{{\left({r}\right)}}}}}{\cos{{\left({r}\right)}}}{d}{r}
∫
0
2
π
e
s
i
n
(
r
)
cos
(
r
)
d
r
=
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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