Let t denote the greatest integer less than or equal to t . Then the value of ∫ 1 2 2 x - 3 x d x is

Question

Let t denote the greatest integer less than or equal to t . Then the value of &#8747; 1 2 2 x - 3 x d x is

Aicharya · Accepted Answer

&#8747; 1 2 3 x - 3 x - x d x &#160; = &#8747; 1 2 3 x - x d x = &#8747; 1 2 x - 3 x d x = &#8747; 1 2 x d x - &#8747; 1 2 3 x d x = &#160; x 2 2 1 2 - 3 &#8747; 0 1 / 3 3 x d x = 4 2 - 1 2 - 9 x 2 2 0 1 / 3 = 3 2 - 9 2 ( 1 / 3 ) 2 - 0 2 = 1

Let t denote the greatest integer less than or equal to t . Then the value of &#8747; 1 2 2 x - 3 x d x is

Solution

Let t denote the greatest integer less than or equal to t . Then the value of ∫ 1 2 2 x - 3 x d x is