If-x-stands-for-the-gratest-integer-function-the-value-of-4-10-x-2-x-2-28x-196-x-2-dx-is-

Question Number 53536 by gunawan last updated on 23/Jan/19

If [x] stands for the gratest integer function

the value of \int_{4}^{10} \frac{[x^{2}]}{[x^{2} - 28 x + 196] + [x^{2}]} d x is

Answered by tanmay.chaudhury50@gmail.com last updated on 23/Jan/19

= u s i n g f o r m u l a \int_{a}^{b} f (x) d x = \int_{a}^{b} f (a + b - x) d x

I = \int_{4}^{10} \frac{[x^{2}]}{[{(14 - x)}^{2}] + [x^{2}]} d x

= \int_{4}^{10} \frac{[{(14 - x)}^{2}]}{[x^{2}] + [{(14 - x)}^{2}]} d x

2 I = \int_{4}^{10} d x

2 I =∣ x ∣ ∣_{4}^{10}

2 I = (10 - 4)

I = 3