Find begin mathsize 20px style integral x cubed log x squared d x end style

Asked by sunil2791 | 3rd Jul, 2017, 07:34: PM

Expert Answer:

begin mathsize 16px style integral straight x cubed logx squared dx
In space such space cases space we space always space substitute space straight x squared equals straight t space
2 xdx equals dt
rightwards double arrow xdx equals dt over 2
straight I equals integral open parentheses straight x squared logx squared close parentheses xdx
straight I equals integral tlogt dt over 2
Use space integration space by space parts space method space to space solve.
For space integration space by space parts space sequence space should space be space as space follows colon
straight L minus Log
straight I minus inverse
straight A minus Algebraic
straight T minus Trigo
straight E minus Exponential space end style

Answered by Sneha shidid | 4th Jul, 2017, 09:05: AM