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use only BABAR Date: products : (Excercise products * always 6.3) use only BABAR products always use
1 Evaluate:
8x2
dn
f
(ii)
1
C
4x2 (x4 + 1) dx
Sols
soll ;
(x4t1
3/2/2
4x
U=
x3+2
U = n4 + 1
du = 3xto
du = 4n
du
dn
du = 3r2 dn
du = 4ndn
du < x2 du
Hos
3
du
J
8
du
(u)"
(0)
3
+ C
=
3 +1
8.1/2
I
3
du
5/2
-3+1
=
+ C
8
(x3+2)
+ C
J
3
3+1
2
- t c
8th (x3+2)-2
5
3
+ C
5
x
5 2 (x4+1 2 + C
Ame
4 3 (x3+2) Ans
(iii) f3x -2n2 du
Se.du 4 for du
5017
S 3x J 1-2n2 dn
3.14 / 14 du
U= 1-2n2
3. 1/14 f the du
3
In du = 4x
4
+ c
Hely
+1
du = n dn
3
4
T23
1-(1-25)
3/2/202
+C