這四題老師說比較難一點 我有些連題目都看不懂要幹麻 超悶
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
非常感謝各位高手><
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 218.167.128.173