大神！求定积分！
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令arcsinx = t.
∫(arcsinx)²dx {0→1}
= ∫t²d(sint) {0→π/2}
= t²sint {0→π/2} - 2∫tsintdt {0→π/2}
= π²/4 + 2∫td(cost) {0→π/2}
= π²/4 + 2tcost {0→π/2} - 2∫costdt {0→π/2}
= π²/4 - 2sint {0→π/2}
= π²/4 - 2.
∫(arcsinx)²dx {0→1}
= ∫t²d(sint) {0→π/2}
= t²sint {0→π/2} - 2∫tsintdt {0→π/2}
= π²/4 + 2∫td(cost) {0→π/2}
= π²/4 + 2tcost {0→π/2} - 2∫costdt {0→π/2}
= π²/4 - 2sint {0→π/2}
= π²/4 - 2.
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