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(Cos³x/(sinx+Cosx))Dx不定积分

∫ cos2x / (cos²x * sin²x) dx = ∫ cos2x / (cosx*sinx)² dx = ∫ cos2x / (1/2 * 2sinx*cosx)² dx = ∫ cos2x / [(1/2)² * (sin2x)²] dx = ∫ cos2x / [(1/4) * sin²2x] dx = 4∫ cos2x / sin²2x dx = (4/...

用半角公式哈

解: ∫ (2x² + 3e^x + 5sinx) dx = 2 ∫ x² dx + 3 ∫ e^x dx + 5 ∫ sinx dx = 2 (1/3) x³ + 3 e^x + 5 (-cosx) + C = 2/3 x³ + 3e^x - 5cosx + C 若不懂,请追问,望采纳!

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