20th January 2009

*Edited

1
(7-12x+4x2)(1+e3-2x)

integrate the above in the limits (0 to 3)

24 Answers

11
Mani Pal Singh ·

integration mein ek point se koi farak nahin padta if that point is an end point

and do remember this also

IF A FUNCTION CONTAIN POINT DISCONTINUITY THEN ITS AREA REMAINS THE SAME

11
Mani Pal Singh ·

could some one help me out in this question[17][17]

9
Celestine preetham ·

hmm yes i told that in post#4 itself

no one saw [17]

11
Mani Pal Singh ·

SIR PLEASE CHECK #14,17,19 AND PLEASE DO EXPLAIN WITH SOME CLARITY WHAT KAYMANT SIR MEANT[7]

66
kaymant ·

This integral does not exist. To be more precise the integral does not converges.

11
Mani Pal Singh ·

IF U R CONTRADICTING SKYGIRL THEN SHE REPLACED X WITH 3-X
SO THE SHE IS TAKING IT AS END POINT

4 MORE INFORMATION REFER TO #14 1ST POINT[1]

13
deepanshu001 agarwal ·

but even in the ques in post 1 the discontinuity is not a point 1 then.....

11
Mani Pal Singh ·

HERE THE DISCONTINUITY IS NOT A POINT DISCONTINUITY
THERE THE DISCONTINUITY IS NON REMOVABLE DISCONTINUITY AS AT X=∩/2 TAN X MOVES UP TO ∞ AND FROM LATER IT STARTS FROM INFINITY
U CAN CHECK FROM ITS GRAPH

13
deepanshu001 agarwal ·

wat abt integral tanx from 0 to pi

11
Mani Pal Singh ·

TAKE THE EXAMPLE OF THIS GIVEN CASE
ITS AREA FROM 0 TO P( WHERE THE CURVE CUTS +VE X AXIS) WILL REMAIN SAME WHETHER THE DISCONTINUITY AT X0 IS PRESENT OR NOT

11
Mani Pal Singh ·

its perfectly correct[1][4]

13
deepanshu001 agarwal ·

i dont agree wid ur last statement....

1
Honey Arora ·

without putting limits the ans is

[-1/26(e17+1)] log(x+7) +[ 1/13(e4+1] log(2x+1) +[1/68] log(e3-2x+1)
plz tell me whether it is right or wrong

13
deepanshu001 agarwal ·

giv ur opinion on whether wt i said is true...

11
Mani Pal Singh ·

@ DEEPANSHU

PLEASE DONT TELL US WHAT U THINK

GIVE US THE FULL FLEDGE SOLUTION TO THE WHOLE PROBLEM

13
deepanshu001 agarwal ·

no i think linits shud b broken at the point where denomintor bcmz 0...

1
skygirl ·

tx.

1357
Manish Shankar ·

good work sky

1
skygirl ·

yup ans : 1/4√2 ln|(3/2-1/√2)/(3/2+1/√2))

i think simplifying, it will be same as celestine's....

1
skygirl ·

so finally,

2I = 1/4 0∫3 dx/ [(x-3/2)2 - (1/√2)2]

bus [1]

9
Celestine preetham ·

neglecting fallacy ans cums to be

ln ( 3 -√2/3 +√2) /4√2

1
skygirl ·

this one is exactly same as my doubt a few days ago....

jus replace x by (3-x) .

then add.

we will get ...

2I = 0∫3 dx/(4x2 - 12x + 7)

9
Celestine preetham ·

also this q is wrong , see the denominator bcums 0 at some pt

9
Celestine preetham ·

put t = x-3/2

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