" If "int(x^(m-p-1))/((x^(p)+1)^(q))dx=(2(1+x^(-p))^(-4))/(lambda p(q-1))+c(p,q in N-{1})," then the value of "lambda" is (here,"c" is an arbitrary "c

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)

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

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)

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)

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

int(2x^(12)+5x^(9))/((x^(5)+x^(3)+1)^(3))dx=(x^(p))/(q(x^(5)+x^(3)+1)^(r))+c , then p-q-r =

If int x^2/(1-x^4) dx = Plog|(1+x)/(1-x)|+Qtan^(-1)x+c then the value of P and Q is

Simplify : ((p+(1)/(q))^m(p-(1)/(q))^n)/((q+(1)/(p))^m(q-(1)/(p))^n) .

{(P+1/(q))^(m).(p-(1)/(q))^(n)}/{(q+(1)/(p))^(m).(q-(1)/(p))^(n)}

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) =