हिंदी
Karnataka Board PUCPUC Science 2nd PUC Class 12

Integrals of Some Particular Functions

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1) `int (dx)/(x^2 - a^2) = 1/(2a) log |(x - a)/(x + a)| + C`

2) `int (dx)/(a^2 - x^2) = 1/(2a) log |(a + x)/(a - x)| + C`

3) `int (dx)/(x^2 - a^2) = 1/a  tan^(-1) (x/a) + C`

4) `int (dx)/sqrt (x^2 - a^2) = log |x + sqrt (x^2-a^2)| + C`

5) `int (dx)/sqrt (a^2 - x^2) = sin ^(-1) (x/a) +C`

6)  `int (dx)/sqrt (x^2 + a^2) = log |x + sqrt (x^2 + a^2)| + C`

7) To find the integral `int (dx)/(ax^2 + bx + c)`

8) To find the integral of the type `int (dx)/sqrt(ax^2 + bx + c)`

9) To find the integral of the type `int (px + q)/(ax^2 + bx + c) dx`

10) For the evaluation of the integral of the type `int (px + q)/sqrt(ax^2 + bx + c) dx`

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Integrals part 20 (Integrals of some particular functions) [00:10:53]
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