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  • 1 # 灕江之舟

    1-cost的平方等於多少?∫1-cost^2 dt

    =∫sint^2 dt
    =tsint^2-∫tdsint^2
    =tsint^2-2∫t^2*cost^2dt
    =tsint^2-2∫t^2(1-sint^2)dt
    =tsint^2-2∫t^2dt+2∫t^2sint^dt
    =tsint^2-2t^3/3-∫td(cost^2)
    =tsint^2-2t^3/3-tcost^2+∫cost^2dt∫1-cost^2 dt

    =∫sint^2 dt
    =tsint^2-∫tdsint^2
    =tsint^2-2∫t^2*cost^2dt
    =tsint^2-2∫t^2(1-sint^2)dt
    =tsint^2-2∫t^2dt+2∫t^2sint^dt
    =tsint^2-2t^3/3-∫td(cost^2)
    =tsint^2-2t^3/3-tcost^2+∫cost^2dt

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