Question

\[ \int_0^1 x\sqrt{x^2+4}\,dx= \]

• A. \(\frac{1}{3}[5\sqrt{5}-4]\)
• B. \(\frac{1}{2}[5\sqrt{5}-8]\)
• C. \(\frac{1}{3}[5\sqrt{5}-8]\)
• D. \(\frac{1}{3}[5\sqrt{5}+4]\)

Hint:

For integrals containing \(x\sqrt{x^2+a}\), use \(u=x^2+a\).

Answer 1

The Correct Option is C