Question

evaluate the integral dx/sq root of x(1+x) dx.. can u detail it for me please

Answer 1

\[\sqrt{x}(x+1)\] ?

1. Distribute x^(1/2) get (x^(1/2)+x^(3/2))
2. Integrate normally get (2/3)x^(3/2)+(2/5)x^(5/2)
3. Check via derive get X^(3/2)+sqrt(x) = sqrt(x)(X+1) check

Answer 2

they gave me a different answer

Answer 3

Hmm... possible lemme check it on my TI really quick I did this in my head.

Answer 4

they said
2tan^-1sqroot x+c

Answer 5

Ti is giving me .4x^(5/2)+.666667x^(3/2) which is approx what I answered. Are you sure you asked the right question or are looking at the right answer