[" If "l_(n)=int_(0)^(1)(dx)/((1+x^(2))^(n));n in N," then which of the following is "],[" correct? "]

If int_(0)^(1) f(x)=M,int_(0)^(1) g(x)dx=N , then which of the following is correct ?

If int_(0)^(1) f(x)=M,int_(0)^(1) g(x)dx=N , then which of the following is correct ?

Let I_(n) = int_(0)^(1)x^(n)(tan^(1)x)dx, n in N , then

For U_(n)=int_(0)^(1)x^(n)(2-x)^(n)dx;V_(n)=int_(0)^(1)x^(n)(1-x)^(n)dxn in N which of the following statement(s) is/are true? (a) U_(n)=2^(n)V_(n)( b) U_(n)=2^(-n)V_(n)(c)U_(n)=2^(2n)V_(n)(d)V_(n)=2^(-2n)U_(n)

Evaluate l_(n)= int (dx)/((x^(2)+a^(2))^(n)) .

Evaluate l_(n)= int (dx)/((x^(2)+a^(2))^(n)) .

Evaluate l_(n)= int (dx)/((x^(2)+a^(2))^(n)) .

If I_(n)=int_(0)^(1)(dx)/((1+x^(2))^(n));n in N, then prove that 2nI_(n+1)=2^(-n)+(2n-1)I_(n)

If I_(n)=int_(0)^(1)x^(n)e^(-x)dx for n in N, then I_(7)-I_(6)=