[" If "],[qquad A=int_(1)^(sin theta)(tdt)/(1+t^(2))dt,B=int_(1)^(cosec theta)(1)/(t(1+t^(2)))dt" the "]

If A = int_(1)^(sintheta) (t)/(1 + r^(2)) dt and B = int_(1)^("cosec"theta) (1)/(t(1 +t^(2))) dt , then the value of the determinant |(A,A^(2),B),(e^(A +B),B^(2),-1),(1,A^(2) + B^(2) ,-1)| is

If A = int_(1)^(sintheta) (t)/(1 + r^(2)) dt and B = int_(1)^("cosec"theta) (1)/(t(1 +t^(2))) dt , then the value of the determinant |(A,A^(2),B),(e^(A +B),B^(2),-1),(1,A^(2) + B^(2) ,-1)| is

A=int_(1)^(sin theta)(t)/(1+t^(2))dt;B=int_(1)^(cos ec theta)(1)/(t(1+t^(2)))dt then find the value of the given determinant

int_(1)^(a)(ln t)/(t)dt

[int_(1/e)^( tan x)(tdt)/(1+t^(2))+int_(1/e)^( cot x)(dt)/(t(1+t^(2)))" is "],[" equal to "]

int(1)/(tsqrt(t^(2) -1))dt

int(1)/(tsqrt(t^(2) -1))dt

The value of int_(1//e)^(tanx)(tdt)/(1+t^(2))+int_(1/e)^(cotx)(dt)/(t(1+t^(2))) is equal to

If I_(1)=int_(1//e)^(tanx)(t)/(1+t^(2))dtandI_(2)=int_(1//e)^(cotx)(dt)/(t(1+t^(2))) then the values of I_(1)+I_(2) is