`int_(0)^(1/2)(dx)/((x-1)`

int_(0)^(1)(dx)/(1+x)

If l=int_(0)^(1//2)(dx)/(sqrt(1-x^(2n))), n in N then (Where, [.] denotes G.I.F)

int_(0)^(1)x^2dx

int_(0)^(1) x dx

If the range of the integral I=int_0^(1/2)(dx)/(sqrt(1-x^(2n))) for ngeq1 is (a, b] then the value of pi/b-2a is equal to

STATEMENT-1 : int_(0)^(oo)(dx)/(1+e^(x))=ln2-1 STATEMENT-2 : int_(0)^(oo)(sin(tan^(-1)))/(1+x^(2))dx=pi STATEMENT-3 : int_(0)^(pi^(2)//4)(sinsqrt(x))/(sqrt(x))dx=1

(9) int_(0)^(1)(dx)/(x+sqrt(1-x^(2)))

int_(0)^(1)(2x)/((1+x^(4)))dx

int_(0)^(1//2)(1)/(1-x^(2))ln.(1-x)/(1+x)dx is equal to

int_(0)^(2)(x+2)/(x+1)dx is