Definite Integration

Section: Mathematics

Question : 40 of 46

Marks: +1, -0

For any real number |x|, let x denote the largest integer less than or equal to x. Let f be a real valued function defined on the interval [−10, 10] by
f (x) = {

x−[x]	if[x]‌is‌odd
1[x]−x	if[x]‌is‌even

Then, the value of

π2

∫

−10

f (x) πx dx is _____.

[JEE Adv 2010 P1]

Your Answer:

Validate

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x−1	1≤x<2
1−x	0≤x<1