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int(-1)^(1)(x^(2)+sin x)dx=...

`int_(-1)^(1)(x^(2)+sin x)dx=`

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The value of int_(-1)^(1)((x^(2)+ sin x)/(1+x^(2)))dx is equal to

int_(-1)^(1)(x^(2)+sin x)/(1+x^(2))dx=

The value of int_(-1)^(1)((x^(2)+sin x)/(1+x^(2)))dx is equal to

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int_(-1)^(1)(x^(3) + sin x + 2)dx =

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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