[" 21."(sum(n=1)^(10)int(-2n-1)^(-2 pi)s...

[" 21."(sum_(n=1)^(10)int_(-2n-1)^(-2 pi)sin^(27)xdx)+(sum_(n=1)^(10)int_(2n)^(2n+1)sin^(27)xdx)=],[[" 1) "27^(2)," 2) "-54," 3) "54," 4) "0]]

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(sum_(n=1)^(10)int_(-2n-1)^(-2n)sin^(27)(x)dx+sum_(n=1)^(10)int_(2n)^(2n+1)sin^(27)(x)dx)

(sum_(n=1)^10int_(-2n-1)^(-2n)sin^(27)(x)dx+sum_(n=1)^10int_(2n)^(2n+1)sin^(27)(x)dx)

The value of [sum_(n=1)^(10)int_(-2n-1)^(-2n)sin^(27)x dx+sum_(n=1)^(10)int_(2n)^(2n+1)sin^(27)xdx] is equal to -

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I_(n)=int sin^(n)xdx

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If S=sum_(n=1)^(10)(2n+(1)/(2)), then S

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