作者judelawww ( )
看板trans_math
标题[积分] 四题考前复习题 明天要期末考
时间Sun Jan 10 13:29:54 2010
这四题老师说比较难一点 我有些连题目都看不懂要干麻 超闷
f(x)
1.If f is a quadratic function such that f(0)=1 and ∫───── dx
x^2(x+1)^3
is rational function, find the value of f'(0).
2 2
∞ 2 -x 1 ∞ -x
2.Show that ∫ x e dx = ─∫ e dx
0 2 0
3.Find the value of the constant C for which the integral
∞ 1 C
∫ ──── - ──── dx converges. Evaluate the integral for this
0 _______ x+2 value.
√x^2 + 4
4.Show that if a>-1 and b>a+1, then the following integral
a
∞ x
is convergent ∫ ────── dx.
0 b
1 + x
非常感谢各位高手><
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