Page 40 - Math SL HB Sem 2

Example 2 : Differentiate ( 3x 4 with respect to x. Hence find
-
)6
a1 [ta6x-q'ax a1 lPx-q'ax

I
(3x-4)6+ (3x-4)6+cl
[Ans: '18

General form of integration: Jqrlar - integrate with respect to x

Jfltlat - integrate with respect to t
I -
o a, integrate with respect to u
Jf1
WRONG !!! : ,
If(u)dx Ir(x)

RE IN FO R C EM E NT EXE RC IS ES :

1. Differentiate with respect to x. Hence, find
"'3
2
dx lAns:1e"+c1
J- "*3
2. Ify=1n1*z*4), frnd its derivative. Hence, find
1
h?* I Ans: 2 ln (x2 +41 +c1

3. Find the function f(x) if

"l Jrfxf*:]1" (t + 2x3) + c tAr";#l

uy 26-h0+J;)+c LAns: 1 1 l
Jrlxpx= -- x +2x
{,I
c) J{*)o*=-d-7*" tnns: pl
4l-x'