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

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

int (px^(p+2q-1)-qx^(q-1))/(x^(2p+2q)+2x^(p+q)+1) dx is equal to (1) -x^p/(x^(p+q)+1)+C (2) x^q/(x^(p+q)+1)+C (3) -x^q/(x^(p+q)+1)+C (4) x^p/(x^(p+q)+1)+C

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

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

int (px^(p+2q-1)-qx^(q-1))/(x^(2p+2q)+2x^(p+q)+1) dx is equal to (1)    -x^p/(x^(p+q)+1)+C     (2)    x^q/(x^(p+q)+1)+C     (3)    -x^q/(x^(p+q)+1)+C     (4)    x^p/(x^(p+q)+1)+C    

int (px^(p+2q-1)-qx^(q-1))/(x^(2p+2q)+2x^(p+q)+1) dx is equal to (1)    -x^p/(x^(p+q)+1)+C     (2)    x^q/(x^(p+q)+1)+C     (3)    -x^q/(x^(p+q)+1)+C     (4)    x^p/(x^(p+q)+1)+C    

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

If y = (1)/(1+x^( p-r) +x^(q-r)) +(1)/( 1+ x^(p-q) +x^(r-q) )+ (1) /( 1+x^(q-p) +x^(r-p)),then (dy)/(dx) =

If int(x^(pq-p-1))/((x^p +1)^(q))dx= 2(1+x^(-p))^(1-q)/(lambda p(q-1))+c " "(p, q in N - {1}) , then the value of lambda is (here, c is an arbitary constant)