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x-(1)/(2)sqrt(x^(3)+3x^(2)+3x+1)...

x-(1)/(2)sqrt(x^(3)+3x^(2)+3x+1)

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If f(x)=cos^(-1)x+cos^(-1){(x)/(2)+(1)/(2)sqrt(3-3x^(2))} then

(d)/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))]=(1)/(2(1+x)sqrt(x)) (b) (3)/((1+x)sqrt(x))(2)/((1+x)sqrt(x)) (d) (3)/(2(1+x)sqrt(x))

Find the domain of f(x) = sqrt(x^(2)-1) + (1)/(sqrt(x^(2)-3x+2))

int(dx)/((x^(3)+3x^(2)+3x+1)sqrt(x^(2)+2x-3))

int(dx)/((x^(3)+3x^(2)+3x+1)sqrt(x^(2)+2x-3))

Solution of (2+sqrt(3))^(x^(2)-2x+1)+(2-sqrt(3))^(x^(2)-2x-1)=(4)/(2-sqrt(3))are(A)1+-sqrt(3),1(B)1+-sqrt(2),1(C)1+-sqrt(3),2(D)1+-sqrt(2),2

int(1)/(sqrt(3x+2)+sqrt(3x+1))

d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b) 3/((1+x)sqrt(x)) (c) 2/((1+x)sqrt(x)) (d) 3/(2(1+x)sqrt(x))

d/(dx)[tan^(-1)((sqrt(x)(3-x))/(1-3x))] is (a) 1/(2(1+x)sqrt(x)) (b) 3/((1+x)sqrt(x)) (c) 2/((1+x)sqrt(x)) (d) 3/(2(1+x)sqrt(x))