`(-1)/(1+(2x - 5)^(2))` का समाकलन कीजिये -

Answer

`(1)/(2)cot^(-1)(2x - 5)`

Explanation

यदि `2x - 5 = t rArr 2dx = dt rArr dx = (1)/(2)dt`
`therefore int(-1)/(1+(2x-5)^(2))dx = (1)/(2)int(-1)/(1+t^(2)) dt = (1)/(2)cot^(-1)t`
` =(1)/(2)cot^(-1)(2x - 5)+c`