(高数)求定积分
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(高数)求定积分
(高数)求定积分
(高数)求定积分
=∫(2 + x^2 - 1)/(1-x^2) * dx
=∫2/(1-x^2) * dx - ∫dx
=∫[1/(1-x) + 1/(1+x)] * dx - x
=∫dx/(1-x) + ∫dx/(1+x) - x
=-ln(1-x) + ln(1+x) - x
=ln[(1+x)/(1-x)] - x
=ln(3/2)/(1/2) - ln(1/1) - (1/2 - 0)
=ln3 - 1/2
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