x^(p/q)(p/q!=-1)

Integrate w.r.t x. : (i) x^(11//2) (ii) x^(-7) (iii) x^(p//q)(p//q ne -1)

Simplified form of (p+(1)/(q))^((p-q))(p-(1)/(q))^((p+q))(q+(1)/(p))^((p-q))(q-(1)/(p))^((p+q))

Express 122^(2/3) as qth root of x^(p) using x^(p/q)=(x^(p))^(1/q) .

((p+1/q)^p.(p-1/q)^q)/((q+1/p)^p.(q-1/p)^q)=(p/q)^x then x=

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 (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

if |x|<1 then d(dx)[1+(p)/(q)x+(p(p+q))/(2!)((x)/(q))^(2)+

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) =