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Today's Calculation Of Integral
2007 Today's Calculation Of Integral
236
236
Part of
2007 Today's Calculation Of Integral
Problems
(1)
Today's calculation of Integral 236
Source:
4/16/2011
Let
a
a
a
be a positive constant. Evaluate the following definite integrals
A
,
B
A,\ B
A
,
B
.
A
=
∫
0
π
e
−
a
x
sin
2
x
d
x
,
B
=
∫
0
π
e
−
a
x
cos
2
x
d
x
A=\int_0^{\pi} e^{-ax}\sin ^ 2 x\ dx,\ B=\int_0^{\pi} e^{-ax}\cos ^ 2 x\ dx
A
=
∫
0
π
e
−
a
x
sin
2
x
d
x
,
B
=
∫
0
π
e
−
a
x
cos
2
x
d
x
.1998 Shinsyu University entrance exam/Textile Science
calculus
integration
trigonometry
calculus computations