If `sqrt(1-x^(2n))+sqrt(1-y^(2n))=a^n(x^n-y^n),` prove that `y^(n-1)*sqrt(1-x^(2n)) dy = x^(n-1)sqrt(1-y^(2n)) dx.`

If sqrt(1-x^(2n))+sqrt(1-y^(2n))=a^(n)(x^(n)-y^(n)) , prove that, (dy)/(dx)=((x)/(y))^(n-1).sqrt((1-y^(2n))/(1-x^(2n))

Evaluate: inte^x(1+n x^(n-1)-x^(2n))/((1-x^n)sqrt(1-x^(2n)))dx

If y={x+sqrt(x^(2)+a^(2))}^(n), then prove that (dy)/(dx)=(ny)/(sqrt((x^(2)+a^(2))))

Evaluate: int e^(x)(1+nx^(n-1)-x^(2n))/((1-x^(n))sqrt(1-x^(2n)))dx

If y={x+sqrt(x^(2)+a^(2))}^(n), then prove that (dy)/(dx)=(ny)/(sqrt(x^(2)+a^(2)))

If y=[x+sqrt(x^(2)+a^(2))]^(n) , then prove that (dy)/(dx)=(ny)/(sqrt(x^(2)+a^(2)))

If y=[x+sqrt(x^(2)+a^(2))]^(n) then prove that (dy)/(dx)=(ny)/(sqrt(x^(2)+a^(2)))

If y= {x + sqrt(x^(2) + a^(2))}^(n) prove that (dy)/(dx)= (ny)/(sqrt(x^(2) + a^(2))). n gt 1 ne N

int(e^(x)(1-nx^(n-1)-x^(2n)))/((1-x^(n)) sqrt(1-x^(2n)))d=....+c

If I_(n)=int(x^(n)dx)/(sqrt(x^(2)+a)) then prove that I_(n)+(n-1)/(n)al_(n-2)=(1)/(n)x^(n-1)*sqrt(x^(2)+a)