Exercise 6.3: Evaluate

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always * always use only B ABAR products * always use only BABAR

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