Question

Let $f\left(x\right)=2\sqrt{x}$ and $g\left(x\right)=2\sqrt{1-x}$ be two functions then the area bounded by y = f(x), y = g(x) and x axis is

• A. $\frac{1}{3\sqrt{2}}squnit$
• B. $\frac{2}{3\sqrt{2}}squnit$
• C. $\frac{1}{\sqrt{2}}squnit$
• D. $\frac{4}{3\sqrt{2}}squnit$

Answer 1

Answer: (D)

$\frac{4}{3\sqrt{2}}squnit$

$\stackrel{\frac{1}{2}}{\underset{0}{\int }}2\sqrt{x}dx+\stackrel{1}{\underset{\frac{1}{2}}{\int }}2\sqrt{1-x}=\frac{4}{3\sqrt{2}}$