`(i)tan (logx)" "(ii)log sec x" "(iii) log sin.(x)/(2)`

(i)log(x+(1)/(x))" "(ii)log sin3x" "(iii)log(x+sqrt(1+x^(2)))

Solve for x : (i) log_(10) (x - 10) = 1 (ii) log (x^(2) - 21) = 2 (iii) log(x - 2) + log(x + 2) = log 5 (iv) log(x + 5) + log(x - 5) = 4 log 2 + 2 log 3

log (sec 2x +tan 2 x)

Find the differential of the functions: (i) sqrt(x^(2) + 2) (ii) log (x^(2) + 4) (iii) log cos x

(i) int e^(x). "[log (sec x+tan x) + sec x dx " (ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx

(i) int e^(x). "[log (sec x+tan x) + sec x dx " (ii) int (e^(-x)(cos x-sin x))/(cos^(2) x) dx

Evaluate: (i) int(1+tan x)/(x+log sec x)dx (ii) int(sin2x)/(a^(2)+b^(2)sin^(2)x)dx

Solve for x : (i) (log 81)/(log 27) = x (ii) (log 128)/(log 32) = x (iii) (log 64)/(log 8) = log x (iv) (log 225)/(log 15) = log x

int (1 + tan x )/ (x + log sec x)dx