" (i) "(log_(e)x)^(3)

Evaluate: int_(1)^(e)(log_(e)x)^(3)dx

The value of 1+(log_(e)x)+(log_(e)x)^(2)/(2!)+(log_(e)x)^(3)/(3!)+…infty

The value of 1+(log_(e)x)+(log_(e)x)^(2)/(2!)+(log_(e)x)^(3)/(3!)+…infty

Evaluate: int(e^(5)(log)_(e)x-e^(4)(log)_(e)x)/(e^(3)(log)_(e)x-e^(2)(log)_(e^(x))x)dx

(d)/(dx)(e^(log_(e)x^(3)))

int((log _(e)x)^(3))/(x)dx

int((log _(e)x)^(3))/(x)dx

Evaluate: int(e^(6)(log)_(e)x-e^(5)(log)_(e)x)/(e^(4)(log)_(e)x-e^(3)(log)_(e^(x))x)dx

The function f(x)=(log_(e))(x^(3)+sqrt(x^(6)+1)) is of the following types: (a) even and increasing (b) odd and increasing (c) even and decreasing (d) odd and decreasing

xlog_(e)a+(x^(3))/(3!)(log_(e)a)^(3)+(x^(5))/(5!)(log_(e)a)^(5)+...=