4.3: Evaluating De nite Integrals
Evaluation Theorem (Fundamental Theorem of Calculus, +2
If f is continuous on (9,6] wad I is an untiderivative of
f, then
Starsdx = F(6)-F(a)
examples. If possible evaluate
FTC of. 2
with
2
{tes
"Loscks de = sin (1) - ancor cl
.ct=
fa
a
ב
= 1-0
=1
6). S² the = ₤15/2
dx $15%
り
12
=
56)² - ₤2(-1)5
>+
총(32)
5
= ($(4)²=-3(4)³) - 3 -
32
(118) - 3/1 2² )) - — - $35
15 62 1
80 192
-116
15
Broof of Gumluation Theorem of 2.
Ах
=
f is not continuous
Sp cur
И
It use theorem
= F(x) F(x-1)
1=1
Let f be un
antilorisatie of f.
XL
¥2
F(6) - F(a) = F(x) - F(xo)
=(Fran) - Fixnt] ( Foxml) - franz)) ...+
F(x 2 -((a) (F(x) - F(x0)
fi
Evaluation Theorem (Fundamental Theorem of Calculus, +2
If f is continuous on (9,6] wad I is an untiderivative of
f, then
Starsdx = F(6)-F(a)
examples. If possible evaluate
FTC of. 2
with
2
{tes
"Loscks de = sin (1) - ancor cl
.ct=
fa
a
ב
= 1-0
=1
6). S² the = ₤15/2
dx $15%
り
12
=
56)² - ₤2(-1)5
>+
총(32)
5
= ($(4)²=-3(4)³) - 3 -
32
(118) - 3/1 2² )) - — - $35
15 62 1
80 192
-116
15
Broof of Gumluation Theorem of 2.
Ах
=
f is not continuous
Sp cur
И
It use theorem
= F(x) F(x-1)
1=1
Let f be un
antilorisatie of f.
XL
¥2
F(6) - F(a) = F(x) - F(xo)
=(Fran) - Fixnt] ( Foxml) - franz)) ...+
F(x 2 -((a) (F(x) - F(x0)
fi
