[sum_(n=1)^(10)int_(2n-1)^(2n)sin^(27)xdx]+[sum_(n=1)^(10)int_(2n)^(2n+1)sin^(27)xdx]" equals "

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 -

(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)

sum_(n=1)^(oo)(1)/(2n(2n+1))=

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

sum_(n=1)^(oo) (2n)/(n!)=

Evaluate sum_(n=1)^(1000)int_(n-1)^(n)|cos2pix|dx