If `int(dx)/(x^(2008)+x)=(-1)/(p)log((x^(q))/(1+x^(r)))+c` where `p ,q, r in N` then sum of digits of `p+q+r`

int (dx)/(x ^(2014)+x)=1/p ln ((x ^(q))/(1+ x ^(r)))+C where p,q r in N then the value of (p+q+r) equals (Where C is constant of integration)

Let int(dx)/(x^2008 +x)=(1)/(p)ln|(x^(q))/(1+x^(r))|+C , where "C" is a constant "p,q,r" in "N" and need not be distinct, then find the value of (p+q)/(r)

x^(p-q).x^(q-r).x^(r-p)

int(px^(p+2q-1)-qx^(q-1))/(x^(2p+2q)+2x^(p+q)+1)dx

int_( Is )^( If )sin^(-(1)/(11))(x)*cos^(-(21)/(11))(x)dx=(p)/(20)tan^((9)/(r))x+c where p,q,r and c are constants,then p+q-r equals (where q and r are co-prime natural numbers)

If ((p)/(q))=0 for p

If int(8x+7)/(3x-2)dx=px-q.log(3x-2)+r, then (p,q )-=