[" 13.Id "sqrt(x)+14=sqrt(2601)" then "tan alpha],[" 14.Olimplity."[2+sqrt(2)+(1)/(2+sqrt(2))+(1)/(sqrt(2)-2)]]

sqrt 2(sqrt 2+1) - sqrt 2 (1+sqrt2) =?

tan^(-1)((sqrt(2)+1)/(sqrt(2)-1)) - tan^(-1)(sqrt(2)/2) =

(sqrt2+sqrt7)/(sqrt2-sqrt7)=a+bsqrt(14)

Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) with respect to sin^(-1)(2x sqrt(1-x^(2))), if -(1)/(sqrt(2))

Simplify (20)/(sqrt3-sqrt(-2))+(30)/(3 sqrt(-2)-2sqrt3)-(14)/(2 sqrt3- sqrt(-2))

If alpha and beta are acute angles satisfying cos2 alpha=(3cos2 beta-1)/(3-cos2 beta), then tan alpha=sqrt(2)tan beta (b) (1)/(sqrt(2))tan beta(c)sqrt(2)cot beta(d)(1)/(sqrt(2))cot beta

IfI=int(dx)/(x^(3)sqrt(x^(2)-1)), then Iequals a.(1)/(2)((sqrt(x^(2)-1))/(x^(3))+tan^(-1)sqrt(x^(2)-1))+C b.(1)/(2)((sqrt(x^(2)-1))/(x^(2))+x tan^(-1)sqrt(x^(2)-1))+Cc(1)/(2)((sqrt(x^(2)-1))/(x^(2))+tan^(-1)sqrt(x^(2)-1))+Cd(1)/(2)((sqrt(x^(2)-1))/(x^(2))+tan^(-1)sqrt(x^(2)-1))+C

IfI=int(dx)/(x^3sqrt(x^2-1)),t h e nIe q u a l s a. 1/2((sqrt(x^2-1))/(x^3)+tan^(-1)sqrt(x^2-1))+C b. 1/2((sqrt(x^2-1))/(x^2)+xtan^(-1)sqrt(x^2-1))+C c. 1/2((sqrt(x^2-1))/x+tan^(-1)sqrt(x^2-1))+C d. 1/2((sqrt(x^2-1))/(x^2)+tan^(-1)sqrt(x^2-1))+C