" is "int tan^(4)ax+(1)/(2)sec^(-1)bx=(pi)/(4)

tan^(-1)ax+(1)/(2)sec^(-1)bx=(pi)/(4)

int_(0)^( pi)(x sec x tan x)/(1+sec^(2)x)dx=(pi^(2))/(4)

Find the principal values of each of the following: sec ^(-1)(2(sin(3 pi))/(4))( ii) sec^(-1)(2(tan(3 pi))/(4))

Prove the following: 4tan^(-1)(1)/(5)-tan^(-1)(1)/(70)+tan^(-1)(1)/(99)=(pi)/(4)2tan^(-1)(1)/(5)+sec^(-1)(5sqrt(2))/(7)+2tan^(-1)(1)/(8)=(pi)/(4)

Prove that 2tan^(-1)((1)/(5)) +sec^(-1)((5sqrt(2))/(7)) +2tan^(-1)((1)/(8)) =(pi)/(4) .

Prove that : 2 tan^(-1)""(1)/(5)+sec^(-1)""(5sqrt(2))/(7)+2tan^(-1)""(1)/(8)=(pi)/(4)

Prove that 2tan^(-1)((1)/(5))+sec^(-1)((5sqrt(2))/(7))+2tan^(-1)((1)/(8))=(pi)/(4)

Prove that: 2(tan^(-1)1)/(5)+(sec^(-1)(5sqrt(2)))/(7)+2tan^(-1)(1)/(8)=(pi)/(4)

tan((pi)/(4) +(1)/(2)"cos"^(-1)(a)/(b))+ tan((pi)/(4) - (1)/(2)"cos"^(-1)(a)/(b)) is :

tan((pi)/(4) +(1)/(2)"cos"^(-1)(a)/(b))+ tan((pi)/(4) - (1)/(2)"cos"^(-1)(a)/(b)) is :