`int_0^thetalog(1+tan^2theta)dx`

intcos2thetalog(1+tantheta)dx

For theta in (0,pi/2) , prove that int_0^theta"log"(1+tanthetatanx)dx=thetalog(sectheta)

For theta in (0,pi/2) , prove that int_0^theta"log"(1+tanthetatanx)dx=thetalog(sectheta)

For theta in (0,pi/2),p rov et h a tint_0^theta"log"(1+tanthetatanx)dx=thetalog(sectheta)

For theta in(0,(pi)/(2)), provethat int_(0)^( theta)log(1+tan theta tan x)dx=theta log(sec theta)

For theta in(0,(pi)/(2)), the value of definite integral int_(0)^( theta)ln(1+tan theta tan x)dx is equal to

Evaluate int_0^(pi/4)sqrt(1+tan^2theta)d theta.

If int(tan^(4)theta)/(1-tan^(2)theta)d theta=f(theta) where f(0)=0 then which is/are correct

Evaluate the following integrals int(tan^2theta+1)/(tan^2theta-1)d theta

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