Question

The area of the region bounded by the curves y=f(x), y=0, x=-1 and x=1 is

• A. ln()sq.units
• B. sq.units
• C. sq.units
• D. sq.units

Answer 1

The correct option is D

sq.units

$\text{Now the required area}=\underset{-1}{\overset{0}{\int }}(2^x+2^{-x})dx+\underset{0}{\overset{1}{\int }}{2.3}^x=\frac{7}{2In2}=\frac{7}{2}.lo{g}^{2}e=lo{g}_2\left(e^{7/2}\right)$