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\int\frac{x}{\sqrt{x^2+9}}dx

Integral of x/((x^2+9)^0.5)

Answer

$\sqrt{9+x^2}+C_0$

Step-by-step explanation

Problem

$\int\frac{x}{\sqrt{x^2+9}}dx$
1

Solve the integral $\int\frac{x}{\sqrt{9+x^2}}dx$ applying u-substitution. Let $u$ and $du$ be

$\begin{matrix}u=9+x^2 \\ du=2xdx\end{matrix}$

Unlock this step-by-step solution!

Answer

$\sqrt{9+x^2}+C_0$
$\int\frac{x}{\sqrt{x^2+9}}dx$

Main topic:

Integration by substitution

Used formulas:

3. See formulas

Time to solve it:

~ 1.16 seconds