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show that (a) int(0) ^(2pi) sin ^(3)...

show that
(a) `int_(0) ^(2pi) sin ^(3) x dx = 0` ,
(b) `int_(-1)^(1) e^(-x^(2)) dx = 2 int_(0)^(1) e^(-x^(2)) dx`

Text Solution

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The correct Answer is:
`int_(0) ^(2 pi) sin^(3) x dx = 0`
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