求画圈两题的解,要过程,谢谢
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∫(4→9) √x (1 + √x) dx
= ∫(4→9) (√x + x) dx
= (2/3)x^(3/2) + x²/2|(4→9)
= [18 + 81/2] - [16/3 + 8]
= 271/6
= ∫(4→9) (√x + x) dx
= (2/3)x^(3/2) + x²/2|(4→9)
= [18 + 81/2] - [16/3 + 8]
= 271/6
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limx→0[(∫(0→x)cost^2dt])'/([∫(0→x)(sint)/tdt)'] (limx→0cosx^2=1 是积分极限 limx→0(∫(0→x)cost^2dt)=0,limx→0(∫(0→x)(sint)/tdt)=0 积分上限x趋近下限0,积分极限为0,用罗比达法则) =limx→0[(cosx^2)/((sinx)/x)] =1/1=1
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第二个画圈的呢
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