谁能帮我解一道数学题

2024-11-08 11:55:38
推荐回答(6个)
回答1:

a)

I(n)
=∫(sinx)^ndx
=∫(sinx)^(n-2)(1-(cosx)^2)dx
=I(n-2)-∫(sinx)^(n-2)(cosx)^2dx
=I(n-2)-∫(sinx)^(n-2)cosxd(sinx)
=I(n-2)+∫(sinx)^(n-1)d(cosx)/(n-1) -(sinx)^(n-1)cosx/(n-1)|(上下限,下同)
=I(n-2)-∫(sinx)^ndx/(n-1) -(sinx)^(n-1)cosx/(n-1)|
=I(n-2)-I(n)/(n-1) -(sinx)^(n-1)cosx/(n-1)|

I(n) = I(n-2)-I(n)/(n-1) -(sinx)^(n-1)cosx/(n-1)|

I(n) = ((n-1)/n)I(n-2) - (sinx)^(n-1)cosx/n|(上下限)

b)

I(n-2) = (n/(n-1))I(n) + (sinx)^(n-1)cosx/(n-1)|

I(-2) (π/4----〉π/2,下同)
= 0 - cotx|
= 0 - cotπ/2 + cotπ/4
= 1

∫1/(sin⁴(x))dx (π/4----〉π/2,下同)
= I(-4)
= (2/3)I(-2) - cosx/3(sinx)^3|
= 2/3 - cos(π/2)/3sin(π/2)^3 + cos(π/4)/3sin(π/4)^3
= 2/3 - 0 + 2/3
= 4/3

回答2:

请翻译成汉语

回答3:

是积分啊,可惜看不太明白.爱末能住

回答4:

50.24

回答5:

解:
高h=2*10/5=4
S=(9+9+5)*4/2=46
S=(9+5)*4-10=46
答:……

回答6:

角A-角C=35
角C=角A-35
角B-角A=5
角B=角A+5
角A+角B+角C=180
角A+角A-35+角A+5=180
角A=70
角B=75
角C=35