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Integral Calculus

Blazing goIITian

Joined:	10 Jun 2007
Post:	985

1 Apr 2009 21:19:31 IST

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217

Find the area

None

If f(x) = , ;

g(x) = , .

Then the area bounded by y = gof(x); x=1, x=4and x-axis is

(a) 7/2

(b) 9/4

(d) none of these

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Comments (1)

pranav agrawal

Blazing goIITian

Joined: 24 Sep 2008

Posts: 1694

1 Apr 2009 22:42:30 IST

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i hope you can plot f(x) and g(x) very easily~~

f(x) = 1 - x , 0<= x <= 2

& x - 3 , 2<= x <= 4

g(x) = 2 + x , -1 <= x <= 0

& 2 - x , 0 <= x <= 3

after plotting both of them,

gof(x) = 2 - | 1- f(x) | , -1 < = f(x) <= 3

= 2 - | 1- f(x) | , -1 < = f(x) <=1 ( since f(x) lies between -1 to 1 for given limits)

= 2 - | 1- x | , 0<= x <= 2

& 2 - | 3 - x| , 2<= x <= 4

i hope you can easily plot both of them very easily~~

do rate if correct~

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