please solve this integration

[ramizashraf]

PLEASE SOLVE THIS

f [ integration sign ] under root A square + under root X square dx

evaluate this . dx is not under the root. ok [/code][/list]

 

[ChaoticLlama]

Just to clarify, if this the question you stated?

\(\displaystyle \L\int {\frac{{dx}}{{\sqrt {a^2 + x^2 } }}}\)

please learn latex or type more precisely.

if that is indeed the problem, then you should know to use the substitution:
let $\displaystyle x = a\tan \theta$

 

[soroban]

Hello, ramizashraf!

I don't think you meant what you wrote . . .


You wrote:

$\displaystyle \text{[ integration sign ] }\underbrace{under\,root\,A\,square} \,+\,\underbrace{\text{under root }x\,square}\; dx$
. . . . . . . . . . . . . . . . . . . . . . . . . . $\displaystyle \sqrt{A^2}$ . . . . . . . . . . . . . . . . .$\displaystyle \sqrt{x^2}$

And this is just: $\displaystyle \,\int(A\,+\,x)\,dx$ . . . not very challenging!