Are u getting same????

\int_{1}^{4}{x}[x] dx

given ans is 13/12.....

9 Answers

11
Mani Pal Singh ·

same answer to nahin aa raha
but{x}=x-1 (1,2)
{x}=x-2 (2,3)
{x}=x-3 (3,4)

[x]=1 (1,2)
[x]=2 (2,3)
[x]=3 (3,4)

62
Lokesh Verma ·

this is simpler than it seems it will be
\int_{0}^{1}{x^{0}}dx+\int_{0}^{1}{x^{1}}dx+\int_{0}^{1}{x^{2}}dx+\int_{0}^{1}{x^{3}}dx

11
Mani Pal Singh ·

sir yeh kaiise kiya[7]

24
eureka123 ·

but ans not same.......[2]

62
Lokesh Verma ·

think thoda sa ...

whe x is in between 1 to 2
{x} is in between 0 to 1
and [x] is 1

same logic goes for other intervals...

also dx = d{x}

62
Lokesh Verma ·

yup i made one small extra interval.. the first one..

there will be 3 summations...

\int_{0}^{1}{x^{1}}dx+\int_{0}^{1}{x^{2}}dx+\int_{0}^{1}{x^{3}}dx

Ans: 1/2+1/3+1/4

24
eureka123 ·

felt the same.......but didnt have the courage to say that ur answer is wrong........[1][1]

11
Mani Pal Singh ·

answer theek to aa raha hai
sir ke tarike se

SIR TUSSI TAAN GR8 HO
A VERY PRODUCTIVE METHOD.........

24
eureka123 ·

haan theek to hai.............ab tujhe kya problem hai???????????[7][12][11]

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