lim(x趋近于+∞)∫(0→x)(arctant)²dt/√(1+x²)等于多少?

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lim(x趋近于+∞)∫(0→x)(arctant)²dt/√(1+x²)等于多少?

lim(x趋近于+∞)∫(0→x)(arctant)²dt/√(1+x²)等于多少?
lim(x趋近于+∞)∫(0→x)(arctant)²dt/√(1+x²)等于多少?

lim(x趋近于+∞)∫(0→x)(arctant)²dt/√(1+x²)等于多少?
lim(x→+∞)∫(0→x)(arctant)²dt/√(1+x²)
=lim(x→+∞)∫(0→x)(arctant)²dt/x (∞/∞)
=lim(x→+∞)(arctanx)²
=π^2/4