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Math Help - area under curve

  1. #1
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    Post 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?




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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by puneet View Post
    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..
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    Post thanks

    thanks
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