赶快∫【-π,π】[sinx/(x^2+cosx)]dx和∫【-π/4,-π/3】(sinx+cosx)dx求解

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赶快∫【-π,π】[sinx/(x^2+cosx)]dx和∫【-π/4,-π/3】(sinx+cosx)dx求解

赶快∫【-π,π】[sinx/(x^2+cosx)]dx和∫【-π/4,-π/3】(sinx+cosx)dx求解
赶快∫【-π,π】[sinx/(x^2+cosx)]dx和∫【-π/4,-π/3】(sinx+cosx)dx求解

赶快∫【-π,π】[sinx/(x^2+cosx)]dx和∫【-π/4,-π/3】(sinx+cosx)dx求解
∫【-π,π】[sinx/(x^2+cosx)]dx 奇函数
所以原式=0
∫【-π/4,-π/3】(sinx+cosx)dx
=(-cosx+sinx)|(-π/4,-π/3)
=-cos(-3/π)+cos(-π/4)+sin(-π/3)-sin(π/4)
=(根号2)-1/2-(根号3)/2