If I 1 = ∫ 0 1 1 - x 50 100 d x and I 2 = ∫ 0 1 1 - x 50 101 d x such that I 2 = α I 1 then α equals to :

Question

If I 1 = &#8747; 0 1 1 - x 50 100 d x and I 2 = &#8747; 0 1 1 - x 50 101 d x such that I 2 = &#945; I 1 then &#945; equals to :

Aicharya · Accepted Answer

Given &#945; = I 2 I 1 = &#8747; 0 1 1 - x 50 101 d x &#8747; 0 1 1 - x 50 100 d x Now, I 2 = &#8747; 0 1 1 - x 50 1 - x 50 100 d x I 2 = I 1 - &#8747; 0 1 x . x 49 1 - x 50 100 d x I 2 = I 1 - - x 1 - x 50 101 5050 0 1 - &#8747; 0 1 1 - x 50 101 5050 d x I 2 = I 1 - I 2 5050 &#8658; &#945; = I 2 I 1 = 5050 5051

If I 1 = ∫ 0 1 1 - x 50 100 d x and I 2 = ∫ 0 1 1 - x 50 101 d x such that I 2 = α I 1 then…

Solution

If I 1 = &#8747; 0 1 1 - x 50 100 d x and I 2 = &#8747; 0 1 1 - x 50 101 d x such that I 2 = &#945; I 1 then…

Solution

If I 1 = ∫ 0 1 1 - x 50 100 d x and I 2 = ∫ 0 1 1 - x 50 101 d x such that I 2 = α I 1 then…