Grade 12Integral Calculus

hey image attached please tell the method which is used in solution …..please sir .maam …..please anyone …...

Question image for hey image attached please tell the method which is

milind

11 Years agoGrade 12

2 Answers

Jitender Singh

Approved Tutor Answer11 Years ago

Ans:

Hello student,
Please find the answer to your question below

$L = [\frac{3}{4}]+[\frac{3}{4}+\frac{1}{100}]+[\frac{3}{4}+\frac{2}{100}]+............+[\frac{3}{4}+\frac{99}{100}]$
[t] = 0, 0 <=t < 1
[t] = 1, 1 <= t < 2
Now looking at the problem in hand
$[\frac{3}{4}+\frac{x}{100}] = 0, 0 <= x < 25$
$[\frac{3}{4}+\frac{x}{100}] = 1, 25 <= x < 99$
There are total 100 term in L out of which 25 terms are zero.
Rest all the terms are equal to 1.
So the sum is 75.