निम्नलिखित के मान ज्ञात कीजिए-
(a) `int (tan^(-1) x)/((1+x^(2))^(3//2)) dx` (b) `int (tan^(-1) x)/(1+x^(2)) dx`
(c) `int ((sin^(-1) x))/sqrt(1-x^(2)) dx` (d) `int (sec^(-1) x)/(xsqrt(x^(2)-1)) dx`

Answer

(a) `(1+x tan^(-1) x)/sqrt(1+x^(2)) +c` (b) `1/2 (tan^(-1) x)^(2)+c` (c) `1/8 log (1/(9-4x^(2)))+c` (d) `1/2 (sec^(-1) x)^(2)+c`