" 12."e^(3log x)*(x^(4)+1)^(-1)

Integrate the functions e^(3log x)(x^(4)+1)^(-1)

Evaluate: int e^(3log x)(x^(4)+1)^(-1)dx

Evaluate: int e^(3log x)(x^(4)+1)^(-1)dx

Integrate the function e^(3 log x)(x^4+1)^(-1)

int(x^(3)-1)/(x^(3)+x)dx is equal to a) x-log_(e)|x|+log_(e)(x^(2)+1)-tan^(-1)x+C b) x-log_(e)|x|+1/2log_(e)(x^(2)+1)-tan^(-1)x+C c) x+log_(e)|x|+1/2log_(e)(x^(2)+1)+tan^(-1)x+C d)None of these

If y=tan^(-1)[(log(e//x^(3)))/(log(ex^(3)))]+tan^(-1)[(log(e^(4)x^(3)))/(log(e//x^(12)))]," then "(d^(2)y)/(dx^(2))=

If int_(log 2)^(x)(1)/(e^(x)-1)dx = log""(3)/(2) , show that x = log 4

" If " g(x) = |{:(a^(-x),,e^(x log _(e)a),,x^(2)),(a^(-3x),,e^(3x log_(e)a),,x^(4)),(a^(-5x),,e^(5x log _(e)a),,1):}| then

" If " g(x) = |{:(a^(-x),,e^(x log _(e)a),,x^(2)),(a^(-3x),,e^(3x log_(e)a),,x^(4)),(a^(-5x),,e^(5x log _(e)a),,1):}| then