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

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

int_(0)^(1) x dx

If I_(1)=int_(0)^(1)(dx)/(e^(x)(1+x)) and I_(2)=int_(0)^(pi//4)(e^(tan^(7)theta)sintheta)/((2-tan^(2)theta)cos^(3)theta d theta ,then find the value of (l_(1))/(l_(2)) .

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

Prove that int_(0)^(1)(dx)/(1+x^(n))gt1-(1)/(n)"for n"inN

Consider A=int_(0)^(1)(dx)/(1+x^(3)) , then A satisfies

If I=int_(0)^(1) (dx)/(1+x^(4)) , then

If the value of the integral I=int_(0)^(1)(dx)/(x+sqrt(1-x^(2))) is equal to (pi)/(k) , then the value of k is equal to

Consider I=int_(0)^(1)(dx)/(1+x^(5)). Then, I satisfies

Let I_(1) = int_(0)^(pi//4)1/((1+tanx)^(2))dx , I_(2) = int_(0)^(1)(dx)/((1+x)^(2)(1+x^(2))) Then find the value of (I_(1))/(I_(2)) .