`int1/(T a n x Tan(6 0^(@)-x)T a n(6 0^(@)+x)) \ dx=`

Statement-1: int_(0)^(npi+v)|sin x|dx=2n+1-cos v where n in N and 0 le v lt pi . Stetement-2: If f(x) is a periodic function with period T, then (i) int_(0)^(nT) f(x)dx=n int_(0)^(T) f(x)dx , where n in N and (ii) int_(nT)^(nt+a) f(x)dx=int_(0)^(a) f(x) dx , where n in N

Let f(x) be a continuous and periodic function such that f(x)=f(x+T) for all xepsilonR,Tgt0 .If int_(-2T)^(a+5T)f(x)dx=19(ag0) and int_(0)^(T)f(x)dx=2 , then find the value of int_(0)^(a)f(x)dx .

int_(0)^(1) x (1 -x)^(n) dx=?

If m, n in N , then l_(m n) = int_(0)^(1) x^(m) (1-x)^(n) dx is equal to

Evaluate : int_(0)^(1) (x^(2))/(1+x^(6)) dx

Evaluate int _(0)^(1) x ( 1-x)^n dx

If int_(0)^(1) tan^(-1) x dx = p , then the value of int_(0)^(1) tan^(-1)((1-x)/(1 +x)) dx is