x के सापेक्ष समाकलन कीजिए -
`x^(2)sin^(-1)x`

("sin x - cos x")^(2) =1- sin 2x

If f(x) = frac{sin^(-1)x}{sqrt (1-x^2)} , g(x)=e^(sin^(-1)x) , then int f(x)g(x) dx =........................ A) e^(sin^(-1)x) (sin^(-1)x-1) + c B) e^( sin^(-1)x) (1- sin^(-1)x) + c C) e^(sin^(-1)x) (sin^(-1)x+1) + c D) -e^(sin^(-1)x) (sin^(-1)x-1) + c

समाकलन करे: int(sec xdx)/(sec x+tan x)

sin^(-1)[sqrt(x^(2)-x^(3))-sqrt(x-x^(3))]=..... a) sin^(-1)x+sin^(-1)sqrt(x) b) sin^(-1)x-sin^(-1)sqrt(x) c) sin^(-1)sqrt(x)-sin^(-1)x d) 2sin^(-1)x