Integrate the functions: ax+b - Mathematics

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Sum

Integrate the functions:

`sqrt(ax + b)`

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Solution

Let `I = int sqrt(ax + b) dx`

Put ax + b = t 

a dx = dt

`=> dx = 1/a dt`

Hence, `I = int 1/a sqrtt  dt`

`= 1/a int t^(1/2) dt`

`= 1/a . 2/3  t^(3/2) + C`

`= 2/(3a) (ax + b)^(3/2) + C`

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Chapter 7: Integrals - Exercise 7.2 [Page 304]

APPEARS IN

NCERT Mathematics Class 12
Chapter 7 Integrals
Exercise 7.2 | Q 6 | Page 304

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