Question

Write the primitive or anti-derivative
of $f\left(x\right)=\sqrt{x^2+a^2}$

Answer 1

Primitive means integral. So primitive of $f\left(x\right)$ is

$\int f\left(x\right)dx=\int \sqrt{x^2+a^2}dx=\frac{x}{2}\sqrt{x^2}+a^2+\frac{a^2}{2}ln(x+\sqrt{x^2+a^2)}+c$