Y1 Chapter 13 - Integration

Chapter
13.
Integration




Year
Pue

,Integration

Find
y
when
a 3x




+c
c add constant
of integral
=

y 7
=




x x5
=




y y6x
=
+


c




de
3/
3ic 2x
=




y c
=
+




=Yr 4x
=




y 8x
=
c
+




= 5s y
-
= 5x +c




1O* +
=
14x c
y
=

,f((x) 2x 7
=
+




f(x) x
=
xx
+
+
c




f() (22
=
-
1


f(x) 4x=
-


x c
+




=2,2
4
fix) =




f(z) 36
x
=

I C
-




f() E
=




ic
-




S4) 4)
=
C 2
+




f(x) 33x46
=




f(x) 18x2"
=




+C

, ④ Find y when
=(2x+3)"
4x+12x
+

9




4x 6x2 9x c
+




y
= +
+




6 y ha"(,6)
=

(4.48)
6 hal =




48 ha
=




6 ha
=




48
(a)a*
=




This is
at
48:
A

48 6a =
0 14a0
a
8
=




2
=


a




6 =
k(z)
6 2k =




h 3 =