math problem 01

2008-04-02 11:17 pm
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更新1:

can u explain more on the integration........by the way, you integration seens wrong......

更新2:

how do u integrate ∫xsin(x^2) dx ???

回答 (1)

2008-04-03 12:17 am
✔ 最佳答案
∫∫sin(x^2) dxdy
=∫∫sin(x^2)dydx [y from 0 to x][x from 0 to 1]
=∫xsin(x^2) dx [from 0 to 1]
=1/2∫sin(x^2) d(x^2)
=-1/2cos(x^2) [0,1]
=(-1/2)(cos1-1)
=(1/2)(1-cos1)

2008-04-03 11:07:50 補充:
use substitution

d(x^2)=(2x)dx


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