integrating 1/sqrt(x)?

Question

how would i integrate 1 / sqrt(x)
its probably simple but ive been sittin here and im stumped as to how i might approach and disect it. any recomendations ?

Answer 1

sqrt(x) = x^1/2

1/sqrt(x) = x^-(1/2)

Integrate like you would x^2 - don't forget the fraction.

Answer 2

Greetings,

well, one of the things that is probably making your life miserable is the sqrt(x).

and the other thing is the 1/sqrt(x)...

since you are integrating, you've probably dealt with integrating simpler equations like Int(x^2)....

We can rearrange the above equation into something you've seen before...

Remember that sqrt(x) = x ^ 1/2

Also remember that x^-1 = 1 / x

So... you can rearrange 1 / sqrt(x). to x^-1/2

You should be able to integrate the above... f(x) = x ^-1/2

Good luck...

Answer 3

First simplify the expression. sqrt(x) is x^1/2.
If you have an exponent in the denominator, it can be inverted and put in the numerator. So 1/sq(x) is the same as x^2.
Then integration is simple. 1/3 * x^3 + c (ignore the c if you don't know what that is).
Best answer, please?