समाकलन कीजिए!
`(x)/((x-1)^(2)(X+2))`

निम्न समीकरण को हल कीजिए - tan^(-1)(x-1)+tan^(-1)(x)+tan^(-1)(x+1)=tan^(-1) 3 x

Check whether the following are quadratic equations : (1) (x-1)^(2)=2(x-3) (2) x^(2)-2x=(-2)(3-x) (3) (x-2)(x+1)=(x-1)(x+3) (4) (x-3)(2x+1)=x(x+5) (5) (2x-1)(x-3)=(x+5)(x-1) (6) x^(2)+3x+1=(x-2)^(2) (7) (x+2)^(3)=2x(x^(2)-1) (8) x^(3)-4x^(2)-x+1=(x-2)^(3)

If f(x)=x+tan x and g(x) is inverse of f(x) then g'(x) is equal to (1)(1)/(1+(g(x)-x)^(2))(2)(1)/(1-(g(x)-x)^(2))(1)/(2+(g(x)-x)^(2))(4)(1)/(2-(g(x)-x)^(2))