Limit and Continuity,_Differentation,_Integration

QUESTION SOLUTION (C2)

Find ʃ x 1 + 2 using Let u = 1+2x
integration by
substitution Then = 2 so dx = 1
2
1
Also, if u = 1+2x, then x = 2 − 1

Making the substitution :

ʃ x 1 + 2 dx

=ʃ1 − 1 1/2 1
2
2
= 1 ʃ 3/2− 1/²
4
1 (25 5/² − 2
= 4 3 3/²)+C

= 1 1 + 2 5/2− 1 1 + 2 3/2+
10
6

QUESTION SOLUTION (C2)

QUESTION SOLUTION (C2)

QUESTION SOLUTION (C1)

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