If `(1)/(sqrt(4x+1)){(1+(sqrt(4x+1))/(2))^n-(1-(sqrt(4x+1))/(2))^n}=a_0+a_1 x+...+a_5 x^5`, then `n=`

(1)/(sqrt(4x+1)){((1+sqrt(sqrt(x+1)))/(2))^(n)-((1-sqrt(4x+1))/(2))^(n)}=a_(0)+a_(1)x

If 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^n-((1-sqrt(4x+1))/2)^n}=a_0+a_1x then find the possible value of ndot

If 1/(sqrt(4x+1)){((1+sqrt(4x+1))/2)^n-((1-sqrt(4x+1))/2)^n}=a_0+a_1x then find the possible value of ndot

sqrt(x+1)-sqrt(x-1)=sqrt(4x-1)

(x^(n-1))/(sqrt(1+4x^(n)))

If P(x)=1/(sqrt(3x+1))[((1+sqrt(3x+1))/5)^(n)-((1-sqrt(3x+1))/5)^(n)] is a 5th degree polynomial, then value of n is

int(x^(n-1))/(sqrt(1+4x^(n)))dx

lim_(x rarr 1) (sqrt(x+1)-sqrt(5x-3))/(sqrt(2x+3)-sqrt(4x+1))= _________.

Using properties of proportion, solve for x : (i) (sqrt(x + 5) + sqrt(x - 16))/ (sqrt(x + 5) - sqrt(x - 16)) = (7)/(3) (ii) (sqrt(x + 1) + sqrt(x - 1))/ (sqrt(x + 1) - sqrt(x - 1)) = (4x -1)/(2) . (iii) (3x + sqrt(9x^(2) -5))/(3x - sqrt(9x^(2) -5)) = 5 .

(d)/(dx)[cos^(-1)(x sqrt(x)-sqrt((1-x)(1-x^(2))))]=(1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(-1)/(sqrt(1-x^(2)))-(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))+(1)/(2sqrt(x-x^(2)))(1)/(sqrt(1-x^(2)))0 b.1/4c.-1/4d none of these