(5sin(log_(e)x))/(x^(3))

int sin(log_(e)x)dx

[ 197.int5^(log_(e)x)dx is equal to [,(x^(log_(e)5+1))/(log_(e)5+1)+k, 2) 5^(log_(e)x)xxlog5 3) log_(5)x+k, 4) (5^(log_(e)x))/(x)+k]]

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

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

A : log_(e)3+((log_(e)3)^(2))/(2!)+((log_(e)3)^(3))/(3!)+....=2 R : If x,ainRandagt0" then "a^(x)=1+xlog_(e)a+(x^(2))/(2!)(log_(e)a)^(2)+(x^(3))/(3!)(log_(e)a)^(3)+....

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

The value of int(e^(5log_(e)x)+e^(4log_(e)x))/(e^(3log_(e)x)+e^(2log_(e)x))dx is