您好,我想知道这个积分的计算过程?
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I = ∫<5, +∞>ye^[-(y-5)]dy = -∫<5, +∞>ye^[-(y-5)]d[-(y-5)]
= -∫<5, +∞>yde^[-(y-5)]
= -[ye^{-(y-5)}]<5, +∞> + ∫<5, +∞>e^[-(y-5)]dy
= 0 + 5 + [-e^{-(y-5)}]<5, +∞> = 5 + 0 + 1 = 6
= -∫<5, +∞>yde^[-(y-5)]
= -[ye^{-(y-5)}]<5, +∞> + ∫<5, +∞>e^[-(y-5)]dy
= 0 + 5 + [-e^{-(y-5)}]<5, +∞> = 5 + 0 + 1 = 6
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