Let `f(x)=(sin^(2)pix)/(1+pi^(x)).` Then, `int[f(x)+f(-x)]dx` is equal to

Let `f(x)=(sin^(2)pix)/(1+pi^(x)).` Then, `int[f(x)+f(-x)]dx` is equal

1.	Let `f(x)=(sin^(2)pix)/(1+pi^(x)).` Then, `int[f(x)+f(-x)]dx` is equal to
Answer» Correct Answer - B (b) `f(x)+f(-x)=(sin^(2)pix)/(1+pi^(x))+(sin^(2)(-pix))/(1+pi^(-x))` `=(sin^(2)pix)/(1+pi^(x))+((sin^(2)pix)pi^(x))/(pi^(x)+1)` `=sin^(2)pix=(1-cos 2pix)/(2)` `therefore int[f(x)+f(-x)]dx=int[(1-cos 2pix)/(2)]dx` `=(1)/(2)xx-(sin 2pix)/(4pi)+C`