`sqrt(1-4x^(2))`

Explanation

माना `I=intsqrt(1-4x^(2))dx=intsqrt(4((1)/(4)-x^(2)))dx`
`=2intsqrt([((1)/(2))^(2)-x^(2)])dx`
`=2.[(x)/(2)sqrt((1)/(4)-x^(2))+(1)/(4).sin^(-1).(x)/(1//2)]+C`
`rArr" "I=(x)/(2)sqrt(1-4x^(2))+(1)/(4)sin^(-1)(2x)+C`