निम्नंलिखित फलनों का x के सापेक्ष समाकलन कीजिए -
(i) `sin mx` (ii) `2x sin (x^(2) + 1)`
(iii) `(tan^(4)sqrt(x) sec^(2) sqrt(x))/(sqrt(x))`
(iv) `sin (tan^(-1)x)/(1+x^(2))`

Answer

(i) ` = -(1)/(m) cos mx +c`
(ii) `I = - cos (x^(2)+1) +c`
(iii) `therefore int (tan^(4) sqrt(x) sec^(2)sqrt(x))/(sqrt(x))dx = (2)/(5)tan^(5)sqrt(x)+ c`
(iv) ` = - cos (tan^(-1) x) +c`