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Question 52
Mu
Improper Integrals
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Question
Evaluate
∫
0
∞
e
−
x
2
cos
(
2
x
)
d
x
\displaystyle\int_0^\infty e^{-x^2}\cos(\sqrt2x)\,dx
∫
0
∞
e
−
x
2
cos
(
2
x
)
d
x
.
A.
π
4
e
\sqrt{\frac\pi{4e}}
4
e
π
B.
π
2
e
\sqrt{\frac\pi{2e}}
2
e
π
C.
π
e
2
\sqrt{\frac{\pi e}2}
2
π
e
D.
π
e
2
\frac{\sqrt{\pi e}}2
2
π
e
E.
NOTA
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