Integration help

[szndvy]

Its been a long time since I took calculus in college. I have been brushing up just for the fun of it.
I have a text problem I don't understand how to solve.

Find the indefinite integral of dx/4*sqrt(x)
the answer is given as: 1/2 x^1/2 + C

Could someone step through this for me?

 

[tkhunny]

Power rule

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

Treat the exponent as if it were anything but -1.

 

[szndvy]

Thank you.

As an aside, where does one get the math font used in this forum by some?

 

[tkhunny]

Look up LaTeX. You will have to learn to code it. Most things can be learned quickly.

Your integral, for example:

\(\displaystyle \int \frac{dx}{4\cdot\sqrt{x}}\)

Is coded (without the spaces)

\ i n t \ f r a c { d x } { 4 \ c d o t \ s q r t { x } }

Then you use the TEX button at the top of the edit window. It is VERY helpful to learn even a tiny amount of it.

 

[szndvy]

Ok, and thanks for everything....great site for help!!