Интегральное исчисление. Неопределенный интеграл - 35 стр.

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x
x =
b 2
ct
t
2
a
= R
1
(t),
ax
2
+ bx + c = tR
1
(t) ±
c = R
2
(t),
dx = R
0
1
(t)dt = R
3
(t)dt.
3
ax
2
+ bx + c
x
1
x
2
x
1
6= x
2
ax
2
+ bx + c = a(x x
1
)(x x
2
).
ax
2
+ bx + c = t(x x
1
).
x =
t
2
x
1
ax
2
t
2
a
= R
1
(t),
ax
2
+ bx + c = t (R
1
(t) x
1
) = R
2
(t),
dx = R
0
1
(t)dt = R
3
(t)dt.
(i) ax
2
+ bx + c
(ii) ax
2
+ bx + c
ax
2
+bx+c
a
a > 0 (i)
(ii)