Read the following information carefully and answer the questions given below.

Consider the integral

$${I_m} = \int_0^\pi {{{\sin 2mx} \over {\sin x}}dx} $$, where m is a positive integer.

What is I₁ equal to ?

Read the following information carefully and answer the questions given below.

Consider the integral

$${I_m} = \int_0^\pi {{{\sin 2mx} \over {\sin x}}dx} $$, where m is a positive integer.

What I₂ + I₃ equal to ?

Read the following information carefully and answer the questions given below.

Consider the integral

$${I_m} = \int_0^\pi {{{\sin 2mx} \over {\sin x}}dx} $$, where m is a positive integer.

What is I_m equal to ?

Read the following information carefully and answer the questions given below.

Consider the integral

$${I_m} = \int_0^\pi {{{\sin 2mx} \over {\sin x}}dx} $$, where m is a positive integer.

Consider the following

I. I_m $$-$$ I_{m $$-$$ 1} is equal to 0

II. I_2m > I_m

Which of the above is/are correct?