# Math Help - area under curve

1. ## area under curve

The area under rcosθ =1 + tanθ, θ = -π/4 to θ = 0, is the same as the area under y=x(x-1), x = 0 to x=1.State true or false?Give reason?

Learning is just like eating , it is not how much we eat it is how much we can digest.

2. Originally Posted by puneet
The area under rcosθ =1 + tanθ, θ = -π/4 to θ = 0, is the same as the area under y=x(x-1), x = 0 to x=1.State true or false?Give reason?

Learning is just like eating , it is not how much we eat it is how much we can digest.

see.. if we set $x = r\cos \theta$ and $y = r\sin \theta$

$\tan \theta = \frac{y}{x}$

thus, $r\cos\theta = 1 + \tan \theta \Longleftrightarrow x = 1 + \frac{y}{x} \Longleftrightarrow y = x(x-1)$

how about the limits of integration?
try to see if they give you same limits..

thanks