Question

Pls mention the way of finding ​

Answer 1

Answer:

install doubnut app

it will helps u

Answer 2

Answer:

Step-by-step explanation:

take log x =t

x=e^t

for dx

differentiate x=e^t

dx=e^t dt

substitute in question

integral x^1/3 (logx)^2 dx

integral e^t/3*(t)^2

t^2(3e^t/3) - 2t(9e^t/3)+2(27e^t/3)

3t^2e^t/3 - 18te^t/3+54e^t/3

3(log x)^2*e^logx /3 - 18logx*e^logx /3 + 54e^logx /3