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dx 2 - (2x + 1) J 1 + x + ar?

31 . da

12 x – 1 + 52) J 1 + X – Q

(2x – 1 – 53) . dx J 1 - 2x + 2x2

v = tan-'(2x – 1). I dx

| 2x + 1 Ji + 3x + 2.v

12 (x + 1).

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The integral Stat becopy) is reduced to

da

dx 612 4ac-6?)!

3 [4ac+62 402

40 l according as the upper or lower sign of c is taken ; and these are of the forms (f ) or (e) respectively. Hence

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By multiplying the numerator and denominator of a fraction by the same quantity it may frequently be split into integrable parts or reduced to an integrable shape.

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se

and as the second term within the brackets is the differential of the first, it is equivalent to sda

; and therefore

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(59) [de ce pot (
(87) Sites dores - log ()

17

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