Mathematics
Senior High
次の不定積分を以下の公式を使って解説をして欲しいです。
(1)
5. 公式 [I], [II] を用いて,次の不定積分を求めよ。
dxc
dx
24+7
(3) √x²-5 dx
(4) √√2x²+3dx
/2x2
(5) √√9-x² dx
(6) √√3x²
✓3-x2dxc
[I] (i)
√ √
1
dx=log| x+√√x² + A|
√√x² + A
(ii)
log|x
√√x² + A dx = 1½ (x√x² + A+ A log | x +√x² + A1)
=
人の公式
[Ⅱ]
√a²x² dx=(x√a²x²+asin)
1/2 ( x √ α² = x² + a² sin - 1 x )
-1
-
(a>0)
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