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integrate 1 +A^2sin^2x+3/8*A^4*Sin^4x+5/16*A^6*Sin^6x+35/128*A^8*sin^8x between 0 and pi/2
integrate 1 +A^2sin^2x+3/8*A^4*Sin^4x+5/16*A^6*Sin^6x+35/128*A^8*sin^8x between 0 and pi/2
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