- #1
Checkfate
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Hi, I am trying to integrate [tex]\int_{1}^{2} \frac{x^{2}+1}{\sqrt{x}}[/tex] using the Evaluation Theorem.
So my first step is to find the antiderivative of [tex]\frac{x^{2}+1}{\sqrt{x}}[/tex].. And that is where my troubles lie.
I start by rewriting it as [tex](x^{2}+1)*(x^{-1/2}}[/tex] but then realize that I don't know how to find the antiderivative..
I tried using the rule [tex]x^{n}=\frac{x^{n+1}}{n+1} [/tex]
and got [tex] (\frac{x^{3}}{3}+x)*2*\sqrt{x}[/tex] but this does not differentiate into the original function, can someone help me out?
So my first step is to find the antiderivative of [tex]\frac{x^{2}+1}{\sqrt{x}}[/tex].. And that is where my troubles lie.
I start by rewriting it as [tex](x^{2}+1)*(x^{-1/2}}[/tex] but then realize that I don't know how to find the antiderivative..
I tried using the rule [tex]x^{n}=\frac{x^{n+1}}{n+1} [/tex]
and got [tex] (\frac{x^{3}}{3}+x)*2*\sqrt{x}[/tex] but this does not differentiate into the original function, can someone help me out?
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