`int_0^1dx/1+x^2`

Find the value of the following: int_0^1 dx/(1+x^2)

Evaluate the definite integrals int_0^1 (dx)/(1-x^2)

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

IfI_n=int_0^1(dx)/((1+x^2)^n),w h e r en in N , which of the following statements hold good? (a) 2nI_(n+1)=2^(-n)+(2n-1)I_n (b) I_2=pi/8+1/4 (c) I_2=pi/8-1/4 (d) I_3=(3pi)/(32)+1/4

Evaluate the integrals int_0^1x/(x^2+1)dx

Evaluate : int_0^1 1/(1+x^2)dx

Evaluate: int_0^1 1/(1+x^2)\ dx

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

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