(A) x2a2+x2-a2alog(x-x2+a2) (B) x2x2+a2-a2alog(x+x2+a2) (C) 2xx2+a2+a2a(x+x2+a2) (D) x2x2-a2+a2alog(x+x2-a2)

Air Force Group X Mathematics Test 2

Mathematics » Algebra

$\int \sqrt{a^{2} + x^{2}} d x = ?$

$\frac{x}{2} \sqrt{a^{2} + x^{2}} - \frac{a^{2}}{a} \log (x - \sqrt{x^{2} + a^{2}})$

$\frac{x}{2} \sqrt{x^{2} + a^{2}} - \frac{a^{2}}{a} \log (x + \sqrt{x^{2} + a^{2}})$

$2 x \sqrt{x^{2} + a^{2}} + \frac{a^{2}}{a} (x + \sqrt{x^{2} + a^{2}})$

$\frac{x}{2} \sqrt{x^{2} - a^{2}} + \frac{a^{2}}{a} \log (x + \sqrt{x^{2} - a^{2}})$