Math Is Fun Forum

tony123

Member

Registered: 2007-08-03

Posts: 229

integ

find

Rohan.A

Member

Registered: 2008-08-02

Posts: 4

Re: integ

I'd say this is a basic integration question checking the basics

Refer to any book on definite integration, you'll find a property that definite integration of any f(x) from 0 to a equals integration of f(a-x) from 0 to a

So first write I as the required integral and then use the above property to rewrite I

Then add both the equstions and you'll see that 2I=x]0 to pi/2    becos f(x) + f(a-x)=1 here ( this is a whole class of questions)

so answer is pi/4

WHy you couldnt do it may be cos you are accustommed more to using indefinite and coulsnt get into the definite system which is simpification first

Cheers