Integrate the functions: x9-4x2 - Mathematics

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Sum

Integrate the functions:

`x/(9 - 4x^2)`

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Solution

Let `I = int x/(9 - 4x^2)` dx

Put 9 - 4x2 = t

⇒ -8x dx = dt

∴ `I = -1/8 int dt/t`

`= -1/8 log |t| + C`

`= 1/8 log  1/ |t| + C`

`= 1/8 log  1/ (|9 - 4x^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 15 | Page 304

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