" 2."(1)/(sqrt(1+4x^(2)))

Integrate the following with respect to x. (1)/((2x+1)^(3))+(3)/(5-2x)+(1)/(sqrt(1-4x^(2)))

Integrate (8)/(sqrt(1-(4x)^(2)))+(27)/(sqrt(1-9x^(2)))-(15)/(1+25x^(2)) with respect to x .

(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

int (1+x^(2))/(1-x^(2)).(dx)/(sqrt(1+x^(4)))=(1)/(sqrt(2))log|(sqrt(1+x^(4))+xsqrt(2))/(1-x^(2))|+c

If y="tan"^(-1) (sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(2))) show that, (dy)/(dx)=(x)/(sqrt(1-x^(4)))

If quad cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^(2)),-(1)/(2)

The number of solutions of the equation ((1+e^(x^(2)))sqrt(1+x^(2)))/(sqrt(1+x^(4)-x^(2)))=1+cosx , is

The number of solutions of the equation ((1+e^(x^(2)))sqrt(1+x^(2)))/(sqrt(1+x^(4)-x^(2)))=1+cosx , is

Differentiate sin^(-1)(4xsqrt(1-4x^(2)))w.r.t.sqrt(1-4x^(2)) , if x in(-(1)/(2sqrt2),(1)/(2sqrt2))