The value of the integral ∫ 0 π sin 2 x d x is ________.

Question

The value of the integral &#8747; 0 &#960; sin 2 x d x is ________.

Aicharya · Accepted Answer

Put 2 x = t &#8658; 2 d x = d t &#8658; I = 1 2 &#8747; 0 2 &#960; sin t d t = &#8747; 0 &#960; sin t d t = &#8747; 0 &#960; sin t &#160; d t = - cos t 0 &#960; = 2

The value of the integral &#8747; 0 &#960; sin 2 x d x is ________.

Solution

The value of the integral ∫ 0 π sin 2 x d x is ________.