`(a^2+x^2)/(sqrt(a^2-x^2))`

int (sqrt(a^(2)-x^(2))+(x^(2))/(sqrt(a^(2)-x^(2))))dx

If int sqrt(a^(2)-x^(2))dx=(x)/(2)sqrt(a^(2)-x^(2))+k sin^(-1)(x/a)+c , then the value of k is-

Let kgt0 and lambda =lim_(xrarr0) (k(1-4sqrt(k^2-x^2)))/(x^2sqrt(k^2-x^2)) be finite. Then the value of lambdak , is

Let kgt0 and lambda =lim_(xrarr0) (k(1-4sqrt(k^2-x^2)))/(x^2sqrt(k^2-x^2)) be finite. Then the value of lambdak , is

Evaluate the following limit: (lim)_(x->oo)(sqrt(x^2+a^2)-sqrt(x^2+b^2))/(sqrt(x^2+c^2)-sqrt(x^2+d^2))

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

prove intsqrt(a^2-x^2) dx = x/2sqrt(a^2-x^2)+(a^2)/(2)sin^-1(x)/(a)+c

Prove that : intsqrt(a^(2)-x^(2))dx=x/2sqrt(a^(2)-x^(2))+(a^(2))/(2)sin^(-1)((x)/(a))+c

The integral int(x)/(2-x^(2)+sqrt(2-x^(2)))dx equals

The integral int(x dx)/(2-x^(2)+sqrt(2-x^(2))) equals: