If `I=int1/(2p)sqrt((p-1)/(p+1))dp=f(p)+c`, then `f(p)` is equal to

If (a-(1)/(a))=p, then (a^(2)+(1)/(a^(2))) is equal to p( b) p-2( c) p+2( d ) None of these

If int f(x)cos xdx=(1)/(2)f^(2)(x)+C" ,then "f(x)" can be "P sin x .Find the value of "P

If f(x)=(p-x^(n))^((1)/(n)),p>0 and n is a positive integer then f[f(x)] is equal to

Let p(x) be a function defined on R such that p'(x)=p'(1-x) for all x epsilon[0,1],p(0)=1 and p(1)=41 . Then int_(0)^(1)p(x)dx is equals to (a) 42 (b) sqrt(41) (c) 21 (d) 41

Let p(x) be a function defined on R such that p'(x)=p'(1-x) for all x epsilon[0,1],p(0)=1 and p(1)=41 . Then int_(0)^(1)p(x)dx is equals to (a) 42 (b) sqrt(41) (c) 21 (d) 41

If in a positive integer such that If a number a=p+f whre p is an integer and 0ltflt1 . Here p is called the integral part of a and f its fractional part. Let n in N and (sqrt(3)+1)^(2n)=p+f , where p is the integral part and 0ltflt1 . On the basis of bove informationi answer teh following question: f^2+(p-1)f+4^n= (A) p (B) -p (C) 2p (D) -2p

If f is a function with period P, then int_a^(a+p)f(x)dx is equal to f(a) (b) equal to f(p) independent of a (d) None of these