这三个不定积分求解
2017-12-11
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答:I = ∫∫D x y cos(x y²) dxdy 先 y 后 x = ∫ [0,π/2] dx ∫ [0,2] x y cos(x y²) dy = ∫ [0,π/2] (1/2) sin(x y²) | [0,2] dx = (1/2) ∫ [0,π/2] sin(4x) dx = (-1/8 cos(4x) | [0,π/2] = 0
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