IIT JEE , AIEEE Forum - Mathematics , Integral Calculus

ananth_patri

simplify the expression and solve..

sandeepramesh

is the answer 0? Maybe it is if you take commom denominator

hsbhatt

dei rohit, are u a consultant or jee aspirant. Dirty your hands and do the problem kid

nadeemoidu

x + C

If its correct , i'll give an explanation

hsbhatt

i knew one of the olympians would crack this. yeah go ahead

supralara

simplify and solve
split into 3 integrals
quad then inegrate

sandeepramesh

edited!

sandeepramesh

elegant nadeem!

soln: a, b and c are the solns of f(x)-1

sandeepramesh

is that the elegant soln u were looking for sirji

nadeemoidu

It turned out that i knew the answer . not exactly this one .

EDIT : I'm expressing it in simpler words for everyone to understand.

Let the given function be f(x).

Consider the quadratic equation f(x) = 1
find f(a) , f(b) , f(c).
u can see that they r all equal to 1.
so the quadratic equation has more than 2 solutions. but that 's not possible .

If a quadratic expression is true for more than 2 values , then it means that it is an identity , i.e. it is true for all values of 'x'.

So f(x) is a constant function f(x)=1

Its integral is x+C

hsbhatt

good job nadeem. that's what i wanted to be brought out. thanx

rohit: i wudnt give a problem that needed computation, but one which would illustrate something useful. So I guarantee solving my qns will not be a waste of time. You may even stand to gain.

bsgdabest

f(a)=f(b)=f(c)=1
for f(x)-1=0, we got like 3 roots, but f(x) is quadratic, therefore it is an identity
so f(x)=1
therefore integration value is x+c

hsbhatt

thank you bsg also

sandeepramesh

sorry sir if i was a bit senseless there

I edited that

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