`int(1-sqrtx)/(1+sqrtx) dx=`

Let I =int _(0)^(1 ) sqrt((1+sqrtx)/(1-sqrtx)) dx then correct statement (s) is/are:

int (a^sqrtx)/(sqrtx) dx equals

Let I =int _(0)^(1 ) sqrt((1+sqrtx)/(1-sqrtx))dx and J = int _(0)^(1 ) sqrt((1-sqrtx)/(1+sqrtx))dx then correct statement (s) is/are:

int (1/sqrtx-sqrtx)dx

int(1+sqrtx)/(1+x)dx

int e^(sqrtx) dx

If int (sqrtx)^5/((sqrtx)^7+x^6) dx= alog(x^k/(1+x^k))+c then a and k are

int (1-x) sqrtx dx

Find int sqrtx/sqrt(a^3-x^3) dx

Let I=int_(0)^(1)(sinx)/(sqrtx) dx and f= int_(0)^(1)( cos x)/(sqrtx) dx Then , which one of the following is true ?